Soliton solutions and periodic solutions for two models arises in mathematical physics-Reference-Cited by-同舟云学术

Soliton solutions and periodic solutions for two models arises in mathematical physics

Published:2022 Issue:3 Volume:7 Page:4439-4458
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mohammed F. A., ,Elboree Mohammed K.,

Abstract

<abstract><p>We aimed in this paper to acquire the periodic wave solutions and soliton solutions and other solutions such as kink-wave solutions for the cubic nonlinear Schrödinger equation with repulsive delta potential ($ \delta $-NLSE) and complex coupled Higgs field equation via two mathematical methods Jacobi elliptic function method and generalized Kudryashov method. Some of these solutions are degenerated to solitary wave solutions and periodic wave solutions in the limit case. We also gave the meaning of these solutions physically and the numerical simulation by some figures.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference40 articles.

1. Y. Gurefe, E. Misirli, Y. Pandir, A. Sonmezoglu, M. Ekici, New exact solutions of the Davey-Stewartson equation with power-law nonlinearity, Bull. Malays. Math. Sci. Soc., 38 (2015), 1223–1234. https://doi.org/10.1007/s40840-014-0075-z

2. M. Khalfallah, Exact traveling wave solutions of the Boussinesq-Burgers equation, Math. Comput. Model., 49 (2009), 666–671. https://doi.org/10.1016/j.mcm.2008.08.004

3. M. Khalfallah, New exact traveling wave solutions of the (3+1) dimensional Kadomtsev-Petviashvili (KP) equation, Commun. Nonlinear Sci. Numer. Simulat., 14 (2009), 1169–1175. https://doi.org/10.1016/j.cnsns.2007.11.010

4. A. S. Abdel Rady, M. Khalfallah, On soliton solutions for Boussinesq-Burgers equations, Commun. Nonlinear Sci. Numer. Simulat., 15 (2010), 886–894. https://doi.org/10.1016/j.cnsns.2009.05.039

5. A. S. Abdel Rady, E. S. Osman, M. Khalfallah, On soliton solutions for a generalized Hirota-Satsuma coupled KdV equation, Commun. Nonlinear Sci. Numer. Simul., 15 (2010), 264–274. https://doi.org/10.1016/j.cnsns.2009.03.011

Cited by 3 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. On the analytical soliton solutions of (1 + 1)-dimensional complex coupled nonlinear Higgs field model;The European Physical Journal Special Topics;2023-08-03

2. New bidirectional wave solutions with different physical structures to the complex coupled Higgs model via recent ansatze methods: applications in plasma physics and nonlinear optics;Optical and Quantum Electronics;2022-04-17

3. Soliton solutions for some nonlinear models in mathematical physics via conservation laws;AIMS Mathematics;2022