New exact optical soliton solutions for nonlinear Schrödinger equation with second-order spatio-temporal dispersion involving M-derivative-Reference-Cited by-同舟云学术

New exact optical soliton solutions for nonlinear Schrödinger equation with second-order spatio-temporal dispersion involving M-derivative

Published:2019-07-18 Issue:20 Volume:33 Page:1950235
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Ghanbari Behzad¹,Gómez-Aguilar J. F.²

Affiliation:

1. Department of Biomedical Engineering, Bahçeşehir University, 34349 Istanbul, Turkey

2. CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca Morelos, Mexico

Abstract

This paper considers the generalized nonlinear Schrödinger (GNLS) equation with group velocity dispersion and second-order spatio-temporal dispersion coefficients. We obtain new dispersive solutions of a variety of GNLS equations via the exponential rational function method with the local M-derivative of order [Formula: see text]. The results obtained demonstrate that the employed method is simple and quite efficient for constructing exact solutions for other nonlinear equations arising in mathematical physics and nonlinear optics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798491950235X

Reference24 articles.

1. The generalized nonlinear higher order of KdV equations from the higher order nonlinear Schrödinger equation and its solutions

2. Exact bright–dark solitary wave solutions of the higher-order cubic–quintic nonlinear Schrödinger equation and its stability

3. Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability

4. Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation

5. Approximation solutions of derivative nonlinear Schrödinger equation with computational applications by variational method

Cited by 94 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lie group analysis, solitary wave solutions and conservation laws of Schamel Burger’s equation;Partial Differential Equations in Applied Mathematics;2024-09

2. Novel exact traveling wave solutions of the space-time fractional Sharma Tasso-Olver equation via three reliable methods;Partial Differential Equations in Applied Mathematics;2024-09

3. Construction of periodic wave soliton solutions for the nonlinear Zakharov–Kuznetsov modified equal width dynamical equation;Optical and Quantum Electronics;2024-08-03

4. Analyzing bifurcation, stability, and wave solutions in nonlinear telecommunications models using transmission lines, Hamiltonian and Jacobian techniques;Scientific Reports;2024-07-03

5. Multiple soliton solutions of some conformable fractional nonlinear models using Sine–Cosine method;Optical and Quantum Electronics;2024-06-21