The exact solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities using the dynamical system and the first integral methods-Reference-Cited by-同舟云学术

The exact solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities using the dynamical system and the first integral methods

Published:2022-01-01 Issue:1 Volume:20 Page:894-910
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Wang Yanjie¹,Zhang Beibei²,Cao Bo¹

Affiliation:

1. Mathematics Teaching and Research Section, Ningbo Polytechnic , 315800 Ningbo Zhejiang , P. R. China

2. College of Statistics and Mathematics, Yunnan University of Finance and Economics , Kunming, Yunnan, 650021 , P. R. China

Abstract

Abstract The exact traveling wave solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities are studied using the dynamical system and the first integral methods. Taking different parameter conditions, we obtain periodic wave solutions, exact solitary wave solutions, kink wave solutions, and anti-kink wave solutions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0469/pdf

Reference45 articles.

1. M. Ekici, M. Mirzazadeh, A. Sonmezoglu, Q. Zhou, H. Triki, M. Z. Ullah, et al., Optical solitons in birefringent fibers with Kerr nonlinearity by exp-function method, Optik 131 (2017), no. 1, 964–976, DOI: https://doi.org/10.1016/j.ijleo.2016.12.015.

2. E. M. E. Zayed and A. Al-Nowehy, Exact solutions for nonlinear foam drainage equation, Indian J. Phys. 91 (2017), no. 2, 209–218, https://doi.org/10.1007/s12648-016-0911-0.

3. E. M. E. Zayed and A. Al-Nowehy, Solitons and other solutions for the generalized KdV-mKdV equation with higher-order nonlinear terms, J. Partial Differ. Equ. 29 (2016), no. 3, 218–245, https://doi.org/10.4208/jpde.v29.n3.5.

4. A. J. M. Jawad, M. Mirzazadeh, Q. Zhou, and A. Biswas, Optical solitons with anti-cubic nonlinearity using three integration schemes, Superlattices Microstruct. 105 (2017), no. 1, 1–10, https://doi.org/10.1016/j.spmi.2017.03.015.

5. M. Mirzazadeh, M. Ekici, Q. Zhou, and A. Biswas, Exact solitons to generalized resonant dispersive nonlinear Schrödinger equation with power law nonlinearity, Optik 130 (2017), no. 1, 178–183, DOI: https://doi.org/10.1016/j.ijleo.2016.11.036.

Cited by 2 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. Bifurcations of phase portraits and chaotic behaviors of the (2+1)-dimensional double‐chain DNA system with beta derivative: A qualitative approach;Heliyon;2024-07

2. Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation;Nonlinear Dynamics;2024-03-23