Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift

Salman, Farwa; Raza, Nauman; Basendwah, Ghada Ali; Jaradat, Mohammed M. M.

doi:10.1016/j.rinp.2022.105753

Cited by 15 publications

(2 citation statements)

References 37 publications

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“…NLPDEs are accustomed to simulate a wide range of chemical, biolog-ical, and physical events, and they play an important role in non-linear research [5]. It gives proper evidence and a greater knowledge of physical aspects of the problem, leading to further applications [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Unveiling single soliton solutions for the (3+1)-dimensional negative order KdV–CBS equation in a long wave propagation

Ghulam Murtaza,

Raza,

Arshed

2024

Opt Quant Electron

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In this work, we investigate a fascinating negative-order Korteweg-de Vries Calogero-Bogoyavlenskii-Schiff equation in (3+1) dimensions, which is a collection of the Korteweg-de Vries equation and the Calogero-Bogoyavlenskii-Schiff equation. It has been looked that how this model defines the interactions of long wave propagations and how it may be used in math, physics, and engineering. We have used the unified method and the singular manifold method to determine the exact traveling wave solutions to this problem. Exponential, trigonometric, rational, and hyperbolic functions are used to represent the derived traveling wave solutions. By using the traveling wave transformation, the considered nonlinear partial differential equation is transformed into an ordinary differential equation. The full derivation of the provided model using the unified methodology and singular manifold method has been added. We have supposed that the equation has a soliton solution. We have got a system of equations by arranging the resultant equations. We have extract unknown coefficients in the system using Maple software and by plugging them into the original equation new soliton solutions to the equation are obtained. The findings show that the soliton solutions generated by these methods are valid. For illustrative purposes, we provide both 3-D and 2-D graphical representations. The strategy described in this research is superior to certain others that have been used to solve the same equation in the literature, according to computational findings. It demonstrates how these answers may be very helpful in comprehending physical processes in a range of applied mathematics fields.

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Section: Introductionmentioning

confidence: 99%

Unveiling single soliton solutions for the (3+1)-dimensional negative order KdV–CBS equation in a long wave propagation

Ghulam Murtaza,

Raza,

Arshed

2024

Opt Quant Electron

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“…A variety of chemical, biological and physical phenomena are modeled via nonlinear partial differential equations (PDEs) which contribute a key role in nonlinear science [3]. It provides an abundance of physical data and a deeper understanding of the problem's physical characteristics, resulting in additional applications [4][5][6][7]. Many tracks have been established for physical issues in recent years in order to come up with exact solutions for nonlinear PDEs using modern computer technologies.…”

Section: Introductionmentioning

confidence: 99%

Conservation Laws and Travelling Wave Solutions for a Negative-Order KdV-CBS Equation in 3+1 Dimensions

Gandarias

Raza

2022

Symmetry

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In this paper, we study a new negative-order KdV-CBS equation in (3+1) dimensions which is a combination of the Korteweg-de Vries (KdV) equation and Calogero–Bogoyavlenskii–Schiff (CBS) equation. Firstly, we determine the Lie point symmetries of the equation and conservation laws by using the multiplier method. The conservation laws will be used to obtain a triple reduction to a second order ordinary differential equation (ODE), which lead to line travelling waves and soliton solutions. Such solitons are obtained via the modified form of simple equation method and are displayed through three-dimensional plots at specific parameter values to lend physical meaning to nonlinear phenomena. It illustrates that these solutions might be extremely beneficial in understanding physical phenomena in a variety of applied mathematics areas.

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Dark-singular, Dark-bright and other optical solitons for conformable resonant nonlinear Schrödinger’s equation incorporating Kerr law nonlinearity

et al. 2023

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Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift

Cited by 15 publications

References 37 publications

Unveiling single soliton solutions for the (3+1)-dimensional negative order KdV–CBS equation in a long wave propagation

Unveiling single soliton solutions for the (3+1)-dimensional negative order KdV–CBS equation in a long wave propagation

Conservation Laws and Travelling Wave Solutions for a Negative-Order KdV-CBS Equation in 3+1 Dimensions

Dark-singular, Dark-bright and other optical solitons for conformable resonant nonlinear Schrödinger’s equation incorporating Kerr law nonlinearity

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