4.5 Article

Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic-Quartic Dispersive Reflectivity by Lie Symmetry

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 Optics

Painlev? analysis and optical solitons for a concatenated model

Nikolay A. Kudryashov et al.

Summary: This paper applies Painleve analysis to a concatenated model combining the well-known nonlinear Schrodinger's equation, Lakshmanan-Porsezian-Daniel model, and Sasa-Satsuma equation. A bright 1-soliton solution is obtained using Jacobi's elliptic function as an intermediary.
Article Optics

Painleve analysis and optical solitons for a concatenated model

Nikolay A. Kudryashov et al.

Summary: This paper applies Painleve analysis to a concatenated model consisting of the well-known nonlinear Schrodinger's equation, Lakshmanan-Porsezian-Daniel model, and Sasa-Satsuma equation. A bright 1-soliton solution is then obtained using the intermediary Jacobi's elliptic function.
Article Physics, Multidisciplinary

Influence of Parameters of Optical Fibers on Optical Soliton Interactions

Qin Zhou

Summary: The interaction between optical solitons plays a crucial role in studying the interaction between light and matter, as well as the development of all-optical devices and the design of integrated optical paths. This study investigates the interaction of optical solitons based on the nonlinear Schrodinger equation, aiming to improve communication quality and system integration. By deriving solutions to the equation, the interaction of two solitons is analyzed, and suggestions are proposed to weaken their interactions.

CHINESE PHYSICS LETTERS (2022)

Article Physics, Multidisciplinary

Optical solitons in fiber Bragg gratings with cubic-quartic dispersive reflectivity by enhanced Kudryashov's approach

Ahmed H. Arnous et al.

Summary: This paper utilizes an enhanced version of Kudryashov's scheme to investigate optical soliton solutions in fiber Bragg gratings with five different nonlinear forms. The analysis incorporates the effect of cubic-quartic dispersive reflectivity, resulting in a full spectrum of solitons for various cases.

PHYSICS LETTERS A (2022)

Article Materials Science, Multidisciplinary

Optical solitons with perturbed complex Ginzburg-Landau equation in kerr and cubic-quintic-septic nonlinearity

Ming-Yue Wang

Summary: This paper presents exact solutions from perturbed complex Ginzburg-Landau equation with Kerr law and cubic-quintic-septic nonlinearity, using two approaches - the trial equation method and complete discriminant system for polynomial method. The obtained solutions can better analyze complex optical phenomena and demonstrate their essence effectively.

RESULTS IN PHYSICS (2022)

Article Optics

Pure-cubic optical soliton perturbation with full nonlinearity by a new generalized approach

Sandeep Malik et al.

Summary: This work presents a new generalized integration scheme to construct pure-cubic optical solitons in a polarization-preserving fiber with Kerr law nonlinearity. By performing Lie symmetry analysis and using the proposed scheme, exact solutions of the governing equation are derived, including pure-cubic dark, singular, and combo dark-singular soliton solutions. The existence criteria for these solutions are also provided.
Article Engineering, Marine

On Lie symmetries and invariant solutions of Broer–Kaup–Kupershmidt equation in shallow water of uniform depth

Dig Vijay Tanwar et al.

Journal of Ocean Engineering and Science (2022)

Article Mathematics, Interdisciplinary Applications

Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schr?dinger-Hirota equation

Lu Tang

Summary: This paper studies the dynamical behavior and dispersive optical solitons in birefringent fibers with coupled Schrodinger-Hirota equation. By applying traveling wave transformations and the theory of planar dynamical system, a range of solutions with different waveforms are obtained. The single traveling wave solutions for the coupled nonlinear Schrodinger-Hirota equation are classified using the complete discriminant system method and symbolic computation, improving upon existing conditions and proposing a new method for constructing dispersive optical solitons.

CHAOS SOLITONS & FRACTALS (2022)

Article Mathematics, Applied

Lie Symmetries and Exact Solutions of KdV-Burgers Equation with Dissipation in Dusty Plasma

Dig Vijay Tanwar et al.

Summary: This article investigates the nonlinear behavior of ion acoustic waves in a plasma with superthermal electrons and isothermal positrons. It analyzes the Lie symmetries and exact solutions of the KdV-Burgers equation, and discusses the characteristics of the solutions through numerical simulations.

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS (2022)

Article Physics, Multidisciplinary

Lie symmetries, invariant solutions and phenomena dynamics of Boiti-Leon-Pempinelli system

Dig Vijay Tanwar et al.

Summary: This paper deals with the highly nonlinear dispersive water equation named Boiti-Leon-Pempinelli (BLP) system. Using the Lie symmetry method, invariant solutions of the BLP system are derived, which involve arbitrary functions and free parameters. Numerical simulations are performed to demonstrate the distinct physical structures of the solutions.

PHYSICA SCRIPTA (2022)

Article Mathematics, Interdisciplinary Applications

Lie symmetry reductions and generalized exact solutions of Date-Jimbo- Kashiwara-Miwa equation

Dig Vijay Tanwar

Summary: In this study, symmetry reductions of the Date-Jimbo-Kashiwara-Miwa equation were derived using the Lie symmetry method, resulting in exact solutions that are more generalized than previous results. The physical significance of these solutions was analyzed through numerical simulations.

CHAOS SOLITONS & FRACTALS (2022)

Article Optics

Optical bullets with Biswas-Milovic equation having Kerr and parabolic laws of nonlinearity

Mustafa Bayram

Summary: This study aims to solve the (3+1) dimensional Biswas-Milovic equation and obtain bullet solutions for both the Kerr law and parabolic law nonlinearities. The originality lies in the use of new and classical methods to solve these equations, and the analysis of parameter effects using 2D, 3D, and contour graphics.
Article Multidisciplinary Sciences

Bright optical solitons with polynomial law of nonlinear refractive index by Adomian decomposition scheme

O. Gonzalez-Gaxiola et al.

Summary: This paper numerically addresses bright optical solitons with a cubic-quintic-septic law of nonlinear refractive index using Adomian decomposition. The results are presented through surface and contour plots with negligible error count.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES (2022)

Article Optics

Optical Solitons in Fiber Bragg Gratings with Polynomial Law Nonlinearity and Cubic-Quartic Dispersive Reflectivity

Elsayed M. E. Zayed et al.

Summary: The paper discusses optical solitons generated by fiber Bragg gratings and the polynomial law of nonlinear refractive index. Soliton solutions to the model are identified utilizing the auxiliary equation approach and an addendum to Kudryashov's method, leading to the emergence of singular periodic solutions as a byproduct.

OPTICS AND SPECTROSCOPY (2022)

Article Optics

Painleve analysis and traveling wave solutions of the sixth order differential equation with non-local nonlinearity

Nikolay A. Kudryashov et al.

Summary: This paper studies a nonlinear partial differential equation describing high dispersion optical soliton with non-local nonlinearity. By considering the traveling wave reduction, a system of ODEs for the real and imaginary parts of the original equation is derived. The Painleve test is used to analyze the integrability of the equation, and although the system does not have the Painleve property, compatibility conditions are found for constructing traveling wave solutions of the nonlinear differential equations using the Painleve data.
Article Optics

Higher-order Sasa-Satsuma equation: Bright and dark optical solitons

Abdul-Majid Wazwaz et al.

Summary: This work introduces a generalized nonlinear Sasa-Satsuma equation with bright and dark optical soliton solutions, as well as other singular and exponential solutions of different structures.
Article Physics, Multidisciplinary

Chirped optical solitons having polynomial law of nonlinear refractive index with self-steepening and nonlinear dispersion

Houria Triki et al.

Summary: In this study, the existence of chirped solitary waves in cubic-quintic-septimal materials under the influence of the Raman and self-steepening effects was demonstrated. New types of localized wave solutions with intensity-dependent frequency chirp were found, including dark and bright solitary waves. The nonlinearity in the frequency chirp associated with these pulses originates from the Raman and self-steepening processes, and the magnitude of the chirp can be controlled efficiently by varying the self-steepening and Raman parameters.

PHYSICS LETTERS A (2021)

Article Optics

Stability of moving Bragg solitons in a semilinear coupled system with cubic-quintic nonlinearity

Md. Jahirul Islam et al.

Summary: The investigation reveals the existence of three distinct bandgaps in the model, with two disjoint soliton families existing only within these bandgaps and separated by a boundary where no soliton solutions exist. The numerical stability analysis shows that one type of solitons is stable in vast regions within the bandgaps, while the other type is always unstable. The effects of system parameters on the stability of solitons, such as group velocity mismatch and coupling coefficient, are analyzed.

JOURNAL OF MODERN OPTICS (2021)

Article Physics, Multidisciplinary

Optimal system, symmetry reductions and group-invariant solutions of (2+1)-dimensional ZK-BBM equation

Dig Vijay Tanwar

Summary: This article explores the optimal system and invariant solutions of the ZK-BBM equation using Lie group theory, which results in reduced independent variables and various solutions reflecting water wave phenomena.

PHYSICA SCRIPTA (2021)

Article Chemistry, Multidisciplinary

Quiescent Gap Solitons in Coupled Nonuniform Bragg Gratings with Cubic-Quintic Nonlinearity

Afroja Akter et al.

Summary: This study investigates the stability characteristics of zero-velocity gap solitons in dual-core Bragg gratings with cubic-quintic nonlinearity and dispersive reflectivity. The research finds that dispersive reflectivity enhances the stability of solitons and identifies nontrivial stability boundaries within the bandgap for each family of solitons. The effects and interplay of dispersive reflectivity and the coupling coefficient on the stability regions are also analyzed.

APPLIED SCIENCES-BASEL (2021)

Article Mathematics, Applied

Rational Solutions of Equations Associated with the Second Painleve Equation

Nikolay A. Kudryashov

REGULAR & CHAOTIC DYNAMICS (2020)

Article Mathematics, Applied

Painleve Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan - Kundu - Lakshmanan Equation

Nikolay A. Kudryashov et al.

REGULAR & CHAOTIC DYNAMICS (2019)

Article Engineering, Mechanical

Stability of moving gap solitons in linearly coupled Bragg gratings with cubic-quintic nonlinearity

Md Jahedul Islam et al.

NONLINEAR DYNAMICS (2018)

Article Engineering, Mechanical

Stability of Bragg grating solitons in a semilinear dual-core system with cubic-quintic nonlinearity

Md. Jahirul Islam et al.

NONLINEAR DYNAMICS (2017)

Article Physics, Fluids & Plasmas

Bragg solitons in systems with separated nonuniform Bragg grating and nonlinearity

Tanvir Ahmed et al.

PHYSICAL REVIEW E (2017)

Article Optics

Ultra low-loss hybrid core porous fiber for broadband applications

Md Saiful Islam et al.

APPLIED OPTICS (2017)

Article Physics, Fluids & Plasmas

Extended nonlinear Schrodinger equation with higher-order odd and even terms and its rogue wave solutions

Adrian Ankiewicz et al.

PHYSICAL REVIEW E (2014)

Article Physics, Fluids & Plasmas

Moving Bragg grating solitons in a cubic-quintic nonlinear medium with dispersive reflectivity

Sahan Dasanayaka et al.

PHYSICAL REVIEW E (2013)

Article Optics

Wave-particle duality of solitons and solitonic analog of the Ramsauer-Townsend effect

T. L. Belyaeva et al.

EUROPEAN PHYSICAL JOURNAL D (2012)

Article Optics

Gap solitons in dual-core Bragg gratings with dispersive reflectivity

B. H. Baratali et al.

JOURNAL OF OPTICS (2012)

Article Physics, Fluids & Plasmas

Interactions of solitons in Bragg gratings with dispersive reflectivity in a cubic-quintic medium

Sahan Dasanayaka et al.

PHYSICAL REVIEW E (2011)

Article Physics, Multidisciplinary

Stability of Bragg grating solitons in a cubic-quintic nonlinear medium with dispersive reflectivity

Sahan Dasanayaka et al.

PHYSICS LETTERS A (2010)

Article Optics

Collision dynamics of solitons in a multi-channel stabilized dispersion managed link

Saul S. Carroll et al.

JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS (2009)

Article Physics, Multidisciplinary

Gap solitons in a hollow optical fiber in the normal dispersion regime

D. Royston Neill et al.

PHYSICS LETTERS A (2007)

Article Physics, Multidisciplinary

Collision dynamics of gap solitons in Kerr media

DR Neill et al.

PHYSICS LETTERS A (2006)

Article Physics, Multidisciplinary

Gap solitons in Bragg gratings with dispersive reflectivity

J Atai et al.

PHYSICS LETTERS A (2005)

Article Physics, Multidisciplinary

Spatial solitons in a medium composed of self-focusing and self-defocusing layers

J Atai et al.

PHYSICS LETTERS A (2002)

Article Physics, Fluids & Plasmas

Multichannel pulse dynamics in a stabilized Ginzburg-Landau system

HE Nistazakis et al.

PHYSICAL REVIEW E (2002)

Article Physics, Fluids & Plasmas

Solitary waves in systems with separated Bragg grating and nonlinearity

J Atai et al.

PHYSICAL REVIEW E (2001)

Article Physics, Multidisciplinary

Families of Bragg-grating solitons in a cubic-quintic medium

J Atai et al.

PHYSICS LETTERS A (2001)