New soliton solutions of the conformal time derivative generalized $ q $-deformed sinh-Gordon equation-Reference-Cited by-同舟云学术

New soliton solutions of the conformal time derivative generalized $ q $-deformed sinh-Gordon equation

Published:2024 Issue:2 Volume:9 Page:4194-4204
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Huang Chun¹,Li Zhao²

Affiliation:

1. Faculty of Teacher Education, Sichuan Vocational and Technical College, Suining 629000, China

2. College of Computer Science, Chengdu University, Chengdu 610106, China

Abstract

<abstract><p>In this article, our main purpose was to study the soliton solutions of conformal time derivative generalized $ q $-deformed sinh-Gordon equation. New soliton solutions have been obtained by the complete discrimination system for the polynomial method. The solutions we obtained mainly included hyperbolic function solutions, solitary wave solutions, Jacobi elliptic function solutions, trigonometric function solutions and rational function solutions. The results showed abundant traveling wave patterns of conformal time derivative generalized $ q $-deformed sinh-Gordon equation.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference30 articles.

1. Z. Li, C. Huang, B. J. Wang, Phase portrait, bifurcation, chaotic pattern and optical soliton solutions of the Fokas-Lenells equation with cubic-quartic dispersion in optical fibers, Phys. Lett. A, 465 (2023), 128714. https://doi.org/10.1016/j.physleta.2023.128714

2. B. Lu, The first integral method for some time fractional differential equations, J. Math. Anal. Appl., 395 (2012), 684–693. https://doi.org/10.1016/j.jmaa.2012.05.066

3. O. Guner, Exp-function method and fractional complex transform for space-time fractional KP-BBM equation, Commun. Theor. Phys., 68 (2017), 149. https://doi.org/10.1088/0253-6102/68/2/149

4. Z. Li, C. Peng, Bifurcation, phase portrait and traveling wave solution of time-fractional thin-film ferroelectric material equation with beta fractional derivative, Phys. Lett. A, 484 (2023), 129080. https://doi.org/10.1016/j.physleta.2023.129080

5. J. Wu, Z. Yang, Global existence and boundedness of chemotaxis-fluid equations to the coupled Solow-Swan model, AIMS Math., 8 (2023), 17914–17942. https://doi.org/10.3934/math.2023912