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Research Article | Open Access

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

Chun Huang1Zhao Li2( )
Faculty of Teacher Education, Sichuan Vocational and Technical College, Suining 629000, China
College of Computer Science, Chengdu University, Chengdu 610106, China
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Abstract

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.

CLC number: 35C05, 35C07, 35R11

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AIMS Mathematics
Pages 4194-4204

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Cite this article:
Huang C, Li Z. New soliton solutions of the conformal time derivative generalized q-deformed sinh-Gordon equation. AIMS Mathematics, 2024, 9(2): 4194-4204. https://doi.org/10.3934/math.2024206

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Received: 03 November 2023
Revised: 23 December 2023
Accepted: 02 January 2024
Published: 15 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)