Related references
Note: Only part of the references are listed.
Article
Engineering, Electrical & Electronic
Melih Cinar et al.
Summary: This article investigates the optical soliton solutions of the time-fractional Biswas-Arshed (BA) equation, which is a new model for soliton transmission through optical fibers. The solutions are derived using wave transformations and rational sine-cosine and sinh-cosh techniques. The results are verified using a computer algebraic system and the effects of parameters on the soliton amplitude are examined.
OPTICAL AND QUANTUM ELECTRONICS
(2023)
Article
Engineering, Electrical & Electronic
Muslum Ozisik et al.
Summary: In this paper, a model of dual-core optical fibers governed by a system of coupled non-linear Schrodinger equations (NLSEs) is studied, and the effect of the coefficient of the group velocity dispersion term on the model is investigated. The enhanced modified extended tanh expansion method (eMETEM) is successfully applied to the governing model. The solutions of the model are obtained by solving a system of algebraic equations.
OPTICAL AND QUANTUM ELECTRONICS
(2023)
Article
Engineering, Electrical & Electronic
Muslum Ozisik et al.
Summary: Due to the importance of optical wave propagation in fibers, we investigated the optical travelling wave solutions and the effect of the third-order dispersion parameter for the extended nonlinear Schrodinger equation. By using the modified F-expansion method, we obtained the solution functions of the problem and plotted 3D, 2D, and contour graphs for physical interpretation. This study is new and it is believed that the obtained results will contribute to the field.
OPTICAL AND QUANTUM ELECTRONICS
(2023)
Article
Optics
Muslum Ozisik et al.
Summary: In this study, the optical soliton solutions of the Schrodinger-Hirota equation with chromatic dispersion and the cubic-quartic Fokas-Lenells equation without chromatic dispersion were investigated using the unified Riccati equation expansion method (UREEM). Through computer algebra software, the obtained results were plotted via 3D and 2D views, and the wave behavior caused by parameter change on 2D graphics was analyzed.
Article
Optics
Ismail Onder et al.
Summary: In this study, the time-fractional coupled nonlinear Schrödinger (TF-CNLS) system in conformable fractional sense was investigated. New Kudryashov method and Kudryashov auxiliary equation methods were applied to obtain optical solitons of the model. Bright, singular, W-shaped, and bright soliton solutions were obtained and analyzed using 3D and 2D graphs.
Article
Optics
A. A. Al Qarni et al.
Summary: We used an improved Adomian decomposition method to computationally analyze a range of dark and singular cubic-quartic optical solitons arising from the Lakshmanan-Porsezian-Daniel equation. Our results demonstrate the high accuracy of this enhanced decomposition technique, with promising computational findings and remarkably precise data. Tables of absolute errors and illustrative plots were provided to support the main conclusions of our comparative study.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Cui-Cui Ding et al.
Summary: In this study, we investigate the controlled evolution of nonautonomous solitons in a spinor Bose-Einstein condensate. By analyzing a system of three coupled Gross-Pitaevskii equations with spatiotemporal modulation, we derive an integrability condition and a nonisospectral Lax pair. This allows us to obtain an infinite set of dynamical invariants and generate one- and two-soliton solutions using the Darboux transform. We find various solutions for controlled nonautonomous solitons, including self-compressed, snake-like, stepwise solitons, and even rogue wave-like states.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Electrical & Electronic
Hasan Cakicioglu et al.
Summary: The aim of this study was to obtain optical soliton solutions of the dispersive Schrodinger-Hirota equation (SH equation) with parabolic law linearity using the generalized Kudryashov method (GKM). The solution algorithm of GKM was introduced and the traveling wave transform was applied to the equation to obtain a nonlinear ordinary differential equation (NODE) form. GKM was successfully applied to the NODE form of the equation and appropriate solution sets were obtained. The analytical solution functions of the dispersive SH equation were created and graphical simulations were demonstrated.
OPTICAL AND QUANTUM ELECTRONICS
(2023)
Article
Engineering, Electrical & Electronic
Hasan Cakicioglu et al.
Summary: This article investigates the optical soliton solutions of the Kundu-Mukherjee-Naskar (KMN) equation using the enhanced modified extended tanh method (eMETEM). The equation is crucial for simulating the bending of light beams, rogue waves in the seas, and fiber pulses in optics. Different types of soliton solutions, including singular-periodic, dark, and singular, have been successfully obtained using the eMETEM method. Confirming the solutions with Maple, the study also analyzes the graphical impact of the parameters on the KMN equation. The results suggest that the parameters have a significant effect on soliton dynamics. The obtained solutions and the approach used in this study are expected to open up remarkable opportunities for future research in various scientific fields.
OPTICAL AND QUANTUM ELECTRONICS
(2023)
Article
Optics
Muslum Ozisik et al.
Summary: The effects of the coefficients of group velocity dispersion, self-frequency shift and self-steepening terms on the optical solitons of the (3+1) -dimensional Sasa-Satsuma equation were examined. The results showed interesting soliton graphics under different parameter values, including V-shaped and periodic singular type solitons.
Article
Optics
Hasan Cakicioglu et al.
Summary: The purpose of this study is to introduce the stochastic dispersive Schrodinger-Hirota equation with parabolic law nonlinearity (SHEPL) with multiplicative white noise via Ito calculus and investigate its stochastic optical soliton solutions. The methodology involves implementing traveling wave transform and solution algorithms to obtain analytical solutions, and graphical representations of these solutions are presented. The originality of this study lies in the introduction of the stochastic model of SHEPL and the analysis of its soliton structures.
Article
Optics
A. Tripathy et al.
Article
Physics, Applied
Oleh Yermakov et al.
Summary: In this study, we demonstrate the use of nanoprinted all-dielectric nanostructures on fiber end faces for efficient light coupling into optical fibers. By utilizing the unique properties of nanoprinting technology, we were able to vary the dimensions of each element and create different polymeric axial-symmetric structures. Our results show that the aperiodic geometry achieved an exceptionally high coupling efficiency across a wide range of angles, surpassing regular gratings and bare fibers by orders of magnitude. This approach enables the development of highly integrated and ready-to-use fiber devices, opening new possibilities in various cutting-edge fields.
APPLIED PHYSICS REVIEWS
(2023)
Article
Materials Science, Multidisciplinary
Hadi Rezazadeh et al.
Summary: In this study, various analytical methodologies were employed to solve the double Sine-Gordon equation. The obtained results were analyzed and depicted using graphical illustrations, and different soliton solutions were explored. This study showcases the efficacy of these methodologies in extracting exact solutions for differential equations used in engineering mathematics.
RESULTS IN PHYSICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Viet Hung Nguyen et al.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Multidisciplinary Sciences
Ismail Onder et al.
Summary: We discussed the perturbed Gerdjikov-Ivanov equation for optical pulse propagation and discovered new and original soliton types using the Sardar sub-equation and modified Kudryashov methods.
Article
Engineering, Mechanical
Sandeep Malik et al.
Summary: In this study, the (2+1)-dimensional combined Korteweg-de Vries and modified Korteweg-de Vries equation is considered for the first time. Lie symmetries are generated and corresponding transformations are used to reduce the equation to ordinary differential equations. Various soliton solutions are constructed using different techniques, and the stability of the corresponding dynamical system is investigated using phase plane theory.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Electrical & Electronic
Zara Kasapeteva et al.
Summary: This study analytically investigates the propagation of bright solitons in single-mode fibers under the influence of third-order linear dispersion and self-steepening effect. New analytical solutions in the form of cnoidal waves are found, which can be reduced to sech-solitons under certain parameter values.
OPTICAL AND QUANTUM ELECTRONICS
(2022)
Article
Optics
Nikolay A. Kudryashov
Summary: This article considers a sixth-order partial differential equation for describing the propagation of impulse in nonlinear optics at arbitrary refractive index. The exact solution and first integral of the differential equation are sought using traveling wave reductions. Highly dispersive optical solitons of the equation with arbitrary refractive index are found.
Article
Optics
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
Materials Science, Multidisciplinary
Shao-Wen Yao et al.
Summary: In this paper, the solutions of DSWE and BLPE equations in the conformable sense are studied. The sine-cosine method is used to obtain various traveling wave solutions to the proposed nonlinear systems. The obtained results play an important role in elucidating some important nonlinear problems in applied sciences and engineering.
RESULTS IN PHYSICS
(2022)
Article
Optics
O. Gonzalez-Gaxiola et al.
Summary: This study numerically investigates highly dispersive optical solitons in birefringent fibers, which result from a non-local form of nonlinear refractive index. A Laplace-Adomian decomposition scheme is employed as the integration algorithm, and both bright and dark solitons are addressed. The obtained error plots indicate an extremely appealing error measure.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2022)
Article
Optics
O. Gonzalez-Gaxiola et al.
Summary: This paper numerically studies highly dispersive bright and dark optical soliton solutions using the variational iteration method. The model considers a quadratic-cubic nonlinear form of refractive index and recovers soliton solutions with an impressive error measure.
JOURNAL OF OPTICS-INDIA
(2022)
Article
Mathematical & Computational Biology
Hadi Rezazadeh et al.
Summary: The research successfully constructed various exact traveling wave solutions for the Chiral nonlinear Schroginger equation using extended rational sine-cosine/sinh-cosh mechanisms. The physical behavior of the reported solutions was demonstrated through 3D, 2D-polar, and contour profiles. The results are a significant addition for exploring nonlinear partial differential equations in applied sciences.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
(2021)
Article
Materials Science, Multidisciplinary
Sandeep Malik et al.
Summary: This paper focuses on the integrability of the nonlinear Kadomtsev-Petviashvili equation with a competing dispersion effect. The governing equation is examined through Painleve analysis and simplified using Lie symmetry analysis, leading to the derivation of soliton solutions. The stability of the corresponding dynamical system is investigated using phase plane theory, with graphical representations of solitons and phase portraits generated using Maple software.
RESULTS IN PHYSICS
(2021)
Article
Optics
Sachin Kumar et al.
Summary: In this work, Kudryashov's equation with third-order dispersion and fourth-order dispersion was studied using Lie symmetry analysis. The governing equation was converted into a system of ordinary differential equations through similarity transformation, and the solutions for cubic-quartic optical solitons were obtained using hyperbolic-expansion method and Kudryashov method.
Article
Optics
Yakup Yildirim et al.
Summary: This study presents cubic-quartic optical solitons with quadratic-cubic nonlinearity for the first time, considering both polarization-preserving and birefringent optical fibres. The research also extends to include perturbation terms of Hamiltonian type, using the method of sine-Gordon equation as the integration algorithm.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2021)
Article
Optics
Elsayed M. E. Zayed et al.
Summary: In this study, we investigate the cases of bright, dark, and singular optical solitons for the self-phase modulation effect, which falls under N. A. Kudryashov's sextic power-law nonlinearity of refractive index. Three different integration schemes have been utilized, including a unified Riccati equation, a new mapping scheme, and an addendum to Kudryashov's method. The solitons are listed, the criteria for their existence are mentioned, and three appropriate conservation laws are extracted.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2021)
Article
Materials Science, Multidisciplinary
Naeem Ullah et al.
RESULTS IN PHYSICS
(2020)
Article
Mathematics, Applied
Anjan Biswas et al.
REGULAR & CHAOTIC DYNAMICS
(2020)
Article
Physics, Multidisciplinary
S. Kumar et al.
PHYSICS OF WAVE PHENOMENA
(2020)
Article
Optics
Anjan Biswas et al.
Article
Materials Science, Multidisciplinary
D. Lu et al.
RESULTS IN PHYSICS
(2019)
Article
Optics
Anjan Biswas et al.
Article
Optics
Anjan Biswas et al.
Article
Optics
Mehmet Ekici et al.
