☆ 4.2 Article

Oceanic long-gravity-water-wave investigations on a variable-coefficient nonlinear dispersive-wave system

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Physics, Applied

Lump-periodic, some interaction phenomena and breather wave solutions to the (2+1)-rth dispersionless Dym equation

Muhammad Bilal et al.

Summary: In this study, the Hirota's bilinear method was successfully applied to retrieve different wave structures of the general rth dispersionless Dym equation. The obtained results include new lump periodic, interaction, and breather wave solutions. The physical behavior of the results was illustrated through various profile plots, and validation was done by checking the results with Mathematica.

MODERN PHYSICS LETTERS B (2022)

添加到收藏夹

Article Engineering, Mechanical

Lax pair, Darboux transformation, breathers and rogue waves of an N-coupled nonautonomous nonlinear Schrodinger system for an optical fiber or a plasma

Dan-Yu Yang et al.

Summary: This study investigates the wave propagation of multiple fields in optical fibers and plasmas. A Lax pair and Darboux transformation are constructed to obtain the solutions of breather and rogue wave. The study finds that the inhomogeneous coefficients affect the characteristics of the breathers and rogue waves.

NONLINEAR DYNAMICS (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Lax pair, solitons, breathers and modulation instability of a three-component coupled derivative nonlinear Schrodinger system for a plasma

Dan-Yu Yang et al.

Summary: In this paper, a three-component coupled derivative nonlinear Schrodinger system is investigated for a certain plasma. Soliton and breather solutions are obtained and their interactions are studied. The modulation instability of plane wave solutions is also examined.

EUROPEAN PHYSICAL JOURNAL PLUS (2022)

添加到收藏夹

Article Mathematics, Applied

Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system

Xiao-Tian Gao et al.

Summary: This Letter focuses on the characteristics of water waves in a narrow channel and presents two branches of similarity reductions for the horizontal velocity and elevation of the waves through symbolic computation.

APPLIED MATHEMATICS LETTERS (2022)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficient nonlinear Schrodinger system in an inhomogeneous optical fiber

Dan-Yu Yang et al.

Summary: This study investigates an M-coupled variable-coefficient nonlinear Schrödinger system in an optical fiber communication system, and obtains localized wave solutions and explores the interactions between gray solitons and breathers under different conditions.

CHAOS SOLITONS & FRACTALS (2022)

添加到收藏夹

Article Mathematics, Applied

Three-component coupled nonlinear Schrodinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix

He-Yuan Tian et al.

Summary: This paper investigates a three-component coupled nonlinear Schrödinger system and derives new analytical solutions by constructing a Darboux transformation. It is found that on a non-zero-zero-zero background, two kinds of waves can be derived, which are useful for understanding the three-component coupled NLS system. Through asymptotic analysis, more nonlinear wave phenomena are discovered, which are not admitted in traditional NLS equations and two-component coupled NLS systems.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2022)

添加到收藏夹

Article Engineering, Mechanical

Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves

Fei-Yan Liu et al.

Summary: In this paper, a (3+1)-dimensional generalized nonlinear evolution equation for shallow water waves is investigated. Nth-order solutions are proved to exist and soliton solutions are constructed. One-periodic-wave solutions are also derived, and the relationship between these solutions is explored. The equation is further simplified to a two-dimensional dynamic system, and the phase portraits of the system are given based on a qualitative analysis.

NONLINEAR DYNAMICS (2022)

添加到收藏夹

Article Engineering, Mechanical

Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients

Yuan Shen et al.

Summary: In this paper, we investigate a (3+1)-dimensional shallow water wave equation with time-dependent coefficients and obtain various solutions and their associated nonlinear phenomena using the Hirota method and symbolic computation.

NONLINEAR DYNAMICS (2022)

添加到收藏夹

Article Mathematics, Applied

Auto-Backlund Transformation, Similarity Reductions and Solitons of an Extended (2+1)-Dimensional Coupled Burgers System in Fluid Mechanics

Xin-Yi Gao et al.

Summary: Burgers-type equations are widely used in various fields, and our symbolic computation has provided an auto-Backlund transformation and two sets of similarity reductions.

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS (2022)

添加到收藏夹

Article

Dynamics of Nonlinear Wave Propagation to Coupled Nonlinear Schrödinger-Type Equations

Muhammad Bilal et al.

International Journal of Applied and Computational Mathematics (2021)

添加到收藏夹

Article Mathematics, Applied

Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrodinger system in a birefringent optical fiber

Meng Wang et al.

Summary: This study investigates the ultrashort optical pulses in a birefringent optical fiber through solving a coupled fourth-order nonlinear Schrödinger system. Soliton interactions, polarizations changes with beta value variations, and other nonlinear effects are analyzed and graphically displayed in the research.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Vector bright soliton interactions of the two-component AB system in a baroclinic fluid

Cui-Cui Ding et al.

Summary: This paper investigates a two-component AB system describing wave-packets in a baroclinic fluid. Bright one- and two-soliton solutions are constructed, and the effects of coefficients on the wave packets are analyzed, revealing the interactions between different types of solitons.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Oceanic studies via a variable-coefficient nonlinear dispersive-wave system in the Solar System

Xin-Yi Gao et al.

Summary: This paper introduces a variable-coefficient nonlinear dispersive-wave system for the shallow oceanic environment in the Solar System. Nonlinear-water-wave symbolic computation and Bell polynomials lead to two hetero-Backlund transformations, while a similarity reduction is obtained through another set of computations, all dependent on variable coefficients representing wave properties. This research may prove useful for future oceanic studies in the Solar System.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics

Fei-Yan Liu et al.

Summary: This paper investigates the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Nth-order Pfaffian solutions are constructed and proved using the modified Pfaffian technique. The study demonstrates the effects of variable coefficients on solitons and presents hybrid solutions composed of breathers, lumps, and solitons.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Editorial Material Mathematics, Interdisciplinary Applications

Comment on Shallow water in an open sea or a wide channel: Auto-and non-auto-Backlund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system

Xiao-Tian Gao et al.

Summary: The paper investigates a generalized (2 + 1)-dimensional dispersive long-wave system for nonlinear and dispersive long gravity waves in shallow water, deriving multiple similarity reductions using symbolic computation which each correspond to a known ordinary differential equation. The results are dependent on the constant coefficients in the original system.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

Meng Wang et al.

Summary: In this paper, the matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain is studied, and the first-, second- and third-order vector breathers are derived using the generalized Darboux transformation method. The propagation of the first- and second-order vector breathers is shown, along with an analysis of the influence of higher-order linear and nonlinear effects on them. The results depend on the strength of the higher-order linear and nonlinear effects in the equation.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrodinger equation

Syed T. R. Rizvi et al.

Summary: This study investigates lump and rogue wave interactions with periodic and kink solitons for the generalized unstable space time fractional nonlinear Schrodinger equations using the theory of dynamical systems. Various ansatz transformations are utilized to obtain these solutions, which are then graphically represented in distinct dimensions.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Backlund transformations, kink soliton, breather- and travelling-wave solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics

Yong-Xin Ma et al.

Summary: This paper investigates a (3+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation in fluid dynamics, and provides various soliton and breather-wave solutions through techniques like Hirota method and symbolic computation. It examines the elastic interactions and propagation characteristics of the waves, presenting findings on the unchanged shapes during propagation.

CHINESE JOURNAL OF PHYSICS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation

Aly R. Seadawy et al.

Summary: This article investigates the propagation of solitary wave solutions to the Pochhammer-Chree equation, obtaining various types of solutions. The innovative phi(6)-model expansion method is used to extract the solitary wave, and modulation instability analysis is discussed. The obtained outcomes are more general and fresh, demonstrating the effectiveness of the method.

PHYSICA SCRIPTA (2021)

添加到收藏夹

Article Physics, Applied

Rogue and lump waves for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice

Cong-Cong Hu et al.

Summary: This paper investigates a (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation for interfacial waves in two-layer liquids or elastic quasiplane waves in lattices. Rational solutions and semi-rational solutions are derived via Kadomtsev-Petviashvili hierarchy reduction. Various types of lump waves and interactions between them are observed, such as fusion between a lump wave and a bell-type soliton and fission of a bell-type soliton.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2021)

添加到收藏夹

Article Mathematics, Applied

Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrodinger system

Xin-Yi Gao et al.

Summary: Recent progress in optical fibers has led to various applications in fields such as nonlinear Schrodinger-type models and symbolic computation. A study on a three-coupled variable-coefficient nonlinear Schrodinger system has provided valuable insights and analytical solutions for picosecond-pulse attenuation/amplification in multicomponent inhomogeneous optical fibers.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

Dan-Yu Yang et al.

Summary: This paper investigates a variable-coefficient coupled Hirota system describing vector optical pulses in an inhomogeneous optical fiber. By constructing a Lax pair and a Darboux transformation, bright-bright soliton, bright-dark soliton, and breather solutions are obtained. Interactions between solitons and the decrease in period of bright-dark solitons under certain conditions are highlighted in the study.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics

Fei-Yan Liu et al.

Summary: This paper investigates a modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Painlevé integrability is explored and soliton-cnoidal and resonant solutions are derived. The equation is reduced to certain symmetry reduction equations via Lie point symmetry generators, leading to hyperbolic function and rational solutions.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Physics, Applied

Backlund transformations, Lax pair and solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves

Tian-Yu Zhou et al.

Summary: This paper investigates a Sharma-Tasso-Olver-Burgers equation for nonlinear dispersive waves, deriving multiple solutions through auto-Backlund transformations and hetero-Backlund transformations. The influence of the coefficients on the solutions is also discussed in the study of this equation.

MODERN PHYSICS LETTERS B (2021)

添加到收藏夹

Article Engineering, Electrical & Electronic

Breather, multi-wave, periodic-cross kink, M-shaped and interactions solutions for perturbed NLSE with quadratic cubic nonlinearity

Aly R. Seadawy et al.

Summary: This article addresses various solutions for the perturbed nonlinear Schrodinger equation with quadratic cubic law nonlinearity, such as homoclinic breather solution, multi-waves, periodic-cross kink, M-shaped rational solution, and interaction solution of M-shaped rational soliton with Lump-two stripe and periodic waves. The graphical representation of the newly obtained results is also discussed towards the end.

OPTICAL AND QUANTUM ELECTRONICS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Bilinear auto-Backlund transformation, breather-wave and periodic-wave solutions for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Yuan Shen et al.

Summary: This paper investigates a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation using the Hirota method and symbolic computation to present bilinear auto-Backlund transformation and analytic solutions. Higher-order breather solutions are determined based on existing N-soliton solutions, and periodic-wave solutions are derived using the Hirota-Riemann method. Graphical representations of the second-order breather and periodic waves are explored, providing insights into nonlinear phenomena in fluid mechanics.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

In an inhomogeneous multicomponent optical fiber: Lax pair, generalized Darboux transformation and vector breathers for a three-coupled variable-coefficient nonlinear Schrodinger system

Meng Wang et al.

Summary: This paper investigates a variable-coefficient nonlinear Schrodinger system modeling the attenuation or amplification of pulses in optical fibers. Breather solutions are obtained and the effects of dispersion and nonlinearity coefficients on these breathers are analyzed. The results may offer theoretical support for future research on adjusting vector breathers in optical fibers.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

添加到收藏夹

Article Mathematics, Applied

Bilinear auto-Backlund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves

Yuan Shen et al.

Summary: Researchers investigated water waves and proposed a nonlinear evolution equation, along with soliton solutions. The results depend on the water-wave coefficients in the equation.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Mathematics, Applied

Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrodinger system with the negative coherent coupling in a weakly birefringent fibre

He-Yuan Tian et al.

Summary: The study focuses on a coupled nonlinear Schrodinger system describing two orthogonally polarized pulses in a weakly birefringent fiber, constructing dressing transformation and N-th order breather solutions with positive integers. Analysis of limits between N-th order breather solutions and seed solutions, conditions to distinguish degenerate and nondegenerate cases for first-order breathers, and the possibility of breathers being kink-type. Additionally, derivation of superregular breathers (SRBs) for second-order breathers and the variations of quasi-Akhmediev breathers profiles before and after interaction.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2021)

添加到收藏夹

Article Physics, Applied

Painleve analysis, Backlund transformations and traveling-wave solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid

Yong-Xin Ma et al.

Summary: In this paper, a (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid is investigated, showing the equation is Painleve integrable under certain constraint. An auto-Backlund transformation and a bilinear auto-Backlund transformation are derived through Painleve analysis and Hirota method, respectively. By using the polynomial-expansion method, traveling-wave solutions are obtained, with the amplitude of the wave remaining invariant during propagation. The amplitude of the traveling wave is found to be influenced by coefficients corresponding to dispersion and nonlinearity effects, while other coefficients have no impact on the wave amplitude.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2021)

添加到收藏夹

Article Multidisciplinary Sciences

Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system

M. H. Raddadi et al.

Summary: In this study, new families of shallow water wave and solitary wave solutions to the (1+1)-dimensional Dullin Gottwald Holm (DGH) system were recovered using the new extended direct algebraic method (NEDAM). The results, obtained in diverse hyperbolic and periodic function forms, provide new additions to the study of solitary wave and shallow water wave theory. Visualizations in 3-dimensional, 2-dimensional, and contour graphs were used to observe the dynamics of the solutions with varying parameters. The proposed computational method was found to be direct, dynamic, well-organized, and useful for solving complex nonlinear problems, making it a valuable tool in various fields along with symbolic computations.

JOURNAL OF KING SAUD UNIVERSITY SCIENCE (2021)

添加到收藏夹

Article Engineering, Mechanical

Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

Dong Wang et al.

Summary: This work focuses on a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation for nonlinear dispersive waves in an inhomogeneous medium. It derives bilinear form and N-soliton solutions, constructs higher-order breather and lump solutions based on these solitons, and investigates the interactions between different types of waves.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Engineering, Mechanical

New extended Kadomtsev-Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions

Yu-Lan Ma et al.

Summary: In this paper, a new extended Kadomtsev-Petviashvili (eKP) equation is developed and its integrability is confirmed using Painleve analysis. Bilinear form, multiple soliton solutions and lump solutions are derived using Hirota's direct method, along with soliton, breather and lump interaction solutions. Graphs are used to illustrate the diverse dynamic behaviors of the obtained solutions.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Solitonic fusion and fission for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves

Yuan Shen et al.

Summary: This study investigates a (3 + 1)-dimensional generalized nonlinear evolution equation in shallow water waves and obtains X-type, Y-type, and periodic lump-stripe soliton solutions through symbolic computation and the Hirota method. Fusion and fission phenomena are observed in the X-type soliton solutions, while the fission phenomenon is observed in the Y-type soliton solutions. The interaction between periodic lump and stripe solitons is found to be inelastic.

PHYSICS LETTERS A (2021)

添加到收藏夹

Article Mathematics, Applied

Higher-order hybrid waves for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique

Lei Hu et al.

Summary: In this paper, the Pfaffian technique is optimized and the Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid is investigated, with higher-order hybrid solutions constructed. The characteristics of the breather and lump, as well as the limitations of the hybrid solutions, are presented.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Alfven solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrodinger equation in an inhomogeneous plasma

Su -Su Chen et al.

Summary: This paper investigates the propagation of nonlinear Alfven waves in inhomogeneous plasma through a variable-coefficient derivative nonlinear Schrodinger equation. Various properties of Alfven soliton solutions are derived, including width, amplitude, velocity, trajectory, interactions, and collapses. The study provides insights into the behavior of Alfven waves in plasma environments.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Symbolic computation on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves

Xin-Yi Gao et al.

Summary: This study examines a (2+1)-dimensional generalized variable coefficient Boiti-Leon-Pempinelli system for water waves, and constructs a set of hetero-Backlund transformations and similarity reductions through scaling transformations and symbolic computation. These link the original system to a known generalized variable-coefficient Burgers equation and an ordinary differential equation, respectively, depending on the variable coefficients in the original system.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Beholding the shallow water waves near an ocean beach or in a lake via a Boussinesq-Burgers system

Xin-Yi Gao et al.

Summary: In this study, we focused on shallow water waves near an ocean beach or in a lake, and discovered two hetero-Backlund transformations and a set of similarity reductions through the Bell polynomials and symbolic computation. These findings provide solutions to a known ordinary differential equation, based on the dispersive power of oceanic water waves, aiming to assist researchers in exploring certain modes of shallow water waves.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Physics, Applied

Kinetics of phase separation in Fe-Cr-X (X = Mo, Cu) ternary alloys - a dynamical wave study

M. Younis et al.

Summary: The study simulated the dynamical behavior of Fe-Cr-X ternary alloys and extracted various nonlinear dynamical exact and solitary wave structures, as well as observed substantial solutions.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2021)

添加到收藏夹

Article Engineering, Mechanical

Painleve integrable condition, auto-Backlund transformations, Lax pair, breather, lump-periodic-wave and kink-wave solutions of a (3+1)-dimensional Hirota-Satsuma-Ito-like system for the shallow water waves

Yu-Qi Chen et al.

Summary: This paper investigates a (3+1)-dimensional Hirota-Satsuma-Ito-like system for shallow water waves, obtaining a Painleve integrable condition and exploring the propagation characteristics of breathers, kink waves, lump-periodic waves, and solitary waves under certain conditions. The study reveals the periodic changes in height for kink waves and solitary waves during propagation, while the heights of lump-periodic waves remain unchanged.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Engineering, Mechanical

Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg-de Vries equation in a fluid

Chong-Dong Cheng et al.

Summary: This paper investigates a (3+1)-dimensional Korteweg-de Vries equation in a fluid, obtaining bilinear form, N-soliton solutions, and higher-order breather solutions. The effects of alpha, beta, gamma, and delta on the amplitude of the second-order breather are discussed. Hybrid solutions comprising the breathers and solitons are derived via the N-soliton solutions.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Engineering, Electrical & Electronic

On study of modulation instability and optical soliton solutions: the chiral nonlinear Schrodinger dynamical equation

S. U. Rehman et al.

Summary: This study extracts different types of exact wave solutions to the (1+1) dimensional Chiral nonlinear Schrodinger equation that describes the edge states of the fractional quantum Hall effect. The extended techniques were used to obtain solutions and the results indicate that the computational strategies are direct, efficient, and concise.

OPTICAL AND QUANTUM ELECTRONICS (2021)

添加到收藏夹

Article Optics

Interaction between the breather and breather-like soliton, and breather-to-soliton conversions of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

Dan-Yu Yang et al.

Summary: This study investigates a variable-coefficient coupled Hirota system describing vector optical pulses in optical fibers. Conversion conditions for breather-to-soliton are obtained, and interactions between different types of waves are presented.

OPTIK (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Bilinear form, bilinear auto-Backlund transformation, breather and lump solutions for a (3+1)-dimensional generalised Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid or a lattice

Yuan Shen et al.

Summary: The study investigates a generalized equation in two-layer fluids or lattices, obtaining bilinear form and auto-Backlund transformation through symbolic computation. Breather solutions and lump solutions are derived based on the Hirota method and an extended homoclinic test approach. The study shows that the amplitudes of breathers and lumps remain unchanged during propagation, with graphical representation under varying coefficients.

PRAMANA-JOURNAL OF PHYSICS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Soliton, multiple-lump and hybrid solutions of a (2+1)-dimensional generalized Hirota-Satsuma-Ito equation for the water waves

Meng Wang et al.

Summary: This paper investigates a (2+1)-dimensional generalized Hirota-Satsuma-Ito equation for water waves, obtaining N-soliton and M-lump solutions based on the bilinear form. By taking M=2 and 3, two- and three-lump solutions are derived. Additionally, three types of hybrid solutions are discussed graphically, including mixtures between one-lump waves and two-kink solitons, two-lump waves and one-kink solitons, and one-lump waves and breather waves.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Looking at an open sea via a generalized (2+1)-dimensional dispersive long-wave system for the shallow water: scaling transformations, hetero-Backlund transformations, bilinear forms and N solitons

Xin-Yi Gao et al.

Summary: This study aims to model nonlinear and dispersive long gravity waves in two horizontal directions using scaling transformations, Bell polynomials, and symbolic computation. The results obtained include branches of hetero-Backlund transformations, bilinear forms, and N-soliton solutions, emphasizing the reliance on coefficients in the system.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation in fluid mechanics and plasma physics

Fei-Yan Liu et al.

Summary: This paper investigates a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation in fluid mechanics and plasma physics, obtaining Lie point symmetry generators, Lie symmetry group, and symmetry reductions through the Lie group method. Hyperbolic-function, power-series, trigonometric-function, soliton, and rational solutions are derived using power-series expansion, polynomial expansion, and (G'/G) expansion methods.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

In nonlinear optics, fluid dynamics and plasma physics: symbolic computation on a (2+1)-dimensional extended Calogero-Bogoyavlenskii-Schiff system

Yuan Shen et al.

Summary: Using symbolic computation, we investigate a (2+1)-dimensional extended Calogero-Bogoyavlenskii-Schiff system in nonlinear optics, fluid dynamics, and plasma physics, obtaining soliton, breather, and lump solutions. We find that the shape and amplitude of a soliton remain unchanged during propagation, with the soliton velocity depending on all coefficients. Graphical analysis shows elastic interaction between solitons and the influence of coefficients on breather and lump solutions.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

添加到收藏夹

Article Mathematics, Applied

Unconventional characteristic line for the nonautonomous KP equation

Xin Yu et al.

APPLIED MATHEMATICS LETTERS (2020)

添加到收藏夹

Article Mathematics, Applied

Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics

Meng Wang et al.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Dispersive and propagation of shallow water waves as a higher order nonlinear Boussinesq-like dynamical wave equations

Mohamed M. A. El-Sheikh et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrodinger system in an inhomogeneous plasma

Cui-Cui Ding et al.

CHAOS SOLITONS & FRACTALS (2020)

添加到收藏夹

Article Engineering, Mechanical

Bilinear form, soliton, breather, lump and hybrid solutions for a (2+1)-dimensional Sawada-Kotera equation

Liu-Qing Li et al.

NONLINEAR DYNAMICS (2020)

添加到收藏夹

Article Mechanics

Viewing the Solar System via a variable-coefficient nonlinear dispersive-wave system

Xin-Yi Gao et al.

ACTA MECHANICA (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Bilinear forms through the binary Bell polynomials,Nsolitons and Backlund transformations of the Boussinesq-Burgers system for the shallow water waves in a lake or near an ocean beach

Xin-Yi Gao et al.

COMMUNICATIONS IN THEORETICAL PHYSICS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics

Dong Wang et al.

COMMUNICATIONS IN THEORETICAL PHYSICS (2020)

添加到收藏夹

Article Physics, Applied

Bilinear forms and soliton solutions for a (2+1)-dimensional variable-coefficient nonlinear Schrodinger equation in an optical fiber

Dong Wang et al.

MODERN PHYSICS LETTERS B (2020)

添加到收藏夹

Article Engineering, Marine

Solving a class of boundary value problems and fractional Boussinesq-like equation with β-derivatives by fractional-order exponential trial functions

Mohammad Parto-Haghighi et al.

JOURNAL OF OCEAN ENGINEERING AND SCIENCE (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Lie point symmetries, conservation laws, and analytical solutions of a generalized time-fractional Sawada-Kotera equation

Li Zou et al.

WAVES IN RANDOM AND COMPLEX MEDIA (2019)

添加到收藏夹

Article Engineering, Mechanical

One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation

M. S. Osman

NONLINEAR DYNAMICS (2019)

添加到收藏夹

Article Engineering, Mechanical

Characteristics of integrability, bidirectional solitons and localized solutions for a (3+1)-dimensional generalized breaking soliton equation

Gui-qiong Xu et al.

NONLINEAR DYNAMICS (2019)

添加到收藏夹

Article Physics, Applied

Soliton interactions of a variable-coefficient three-component AB system for the geophysical flows

Yu-Jie Feng et al.

MODERN PHYSICS LETTERS B (2019)

添加到收藏夹

Article Physics, Applied

Solitons for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the Pfaffian technique

Lei Hu et al.

MODERN PHYSICS LETTERS B (2019)

添加到收藏夹

Article Mechanics

Solitary wave solutions of the higher-order evolution equations for two ordering parameters in the shallow water waves

T. C. Kofane et al.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2019)

添加到收藏夹

Article Physics, Fluids & Plasmas

High-order rogue waves of a long-wave-short-wave model of Newell type

Junchao Chen et al.

PHYSICAL REVIEW E (2019)

添加到收藏夹

Article Physics, Multidisciplinary

Study of Rayleigh type surface wave in the initial stressed irregular bottom of ocean due to point source

Pasupati Paul et al.

WAVES IN RANDOM AND COMPLEX MEDIA (2018)

添加到收藏夹

Article Engineering, Marine

The new types of wave solutions of the Burger's equation and the Benjamin-Bona-Mahony equation

Md. Azmol Huda et al.

JOURNAL OF OCEAN ENGINEERING AND SCIENCE (2018)

添加到收藏夹

Article Physics, Multidisciplinary

Parabola solitons for the nonautonomous KP equation in fluids and plasmas

Xin Yu et al.

ANNALS OF PHYSICS (2016)

添加到收藏夹

Article Physics, Multidisciplinary

Painleve integrability of a generalized fifth-order KdV equation with variable coefficients: Exact solutions and their interactions

Xu Gui-Qiong

CHINESE PHYSICS B (2013)

添加到收藏夹

Article Engineering, Mechanical

Soliton-shape-preserving and soliton-complex interactions for a (1+1)-dimensional nonlinear dispersive-wave system in shallow water

Lei Wang et al.

NONLINEAR DYNAMICS (2011)

添加到收藏夹

Article Physics, Multidisciplinary

Explicit N-fold Darboux transformation for the classical Boussinesq system and multi-soliton solutions

Zhang Yu et al.

PHYSICS LETTERS A (2009)

添加到收藏夹

Article Physics, Fluids & Plasmas

Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs

Ji Lin et al.

PHYSICAL REVIEW E (2008)

添加到收藏夹

Article Physics, Mathematical

Lie symmetry analysis and some new exact solutions of the Wu-Zhang equation

XD Ji et al.

JOURNAL OF MATHEMATICAL PHYSICS (2004)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Bidirectional soliton solutions of the classical Boussinesq system and AKNS system

YS Li et al.

CHAOS SOLITONS & FRACTALS (2003)

添加到收藏夹

Article Physics, Fluids & Plasmas

Bidirectional solitons on water

JE Zhang et al.

PHYSICAL REVIEW E (2003)

添加到收藏夹

Article Physics, Multidisciplinary

Darboux transformations of classical Boussinesq system and its multi-soliton solutions

YS Li et al.

PHYSICS LETTERS A (2001)

添加到收藏夹

Article Physics, Multidisciplinary

Darboux transformations of classical Boussinesq system and its new solutions

YS Li et al.

PHYSICS LETTERS A (2000)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.