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

Chun Huang; Zhao Li; Chun Huang; Zhao Li

doi:10.3934/math.2024206

AIMS Mathematics

2024, Volume 9, Issue 2: 4194-4204. doi: 10.3934/math.2024206

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

Chun Huang ¹,
Zhao Li ^{2
,
,}

1.
Faculty of Teacher Education, Sichuan Vocational and Technical College, Suining 629000, China
2.
College of Computer Science, Chengdu University, Chengdu 610106, China

Received: 03 November 2023 Revised: 23 December 2023 Accepted: 02 January 2024 Published: 15 January 2024
MSC : 35C05, 35C07, 35R11

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.
Citation: Chun Huang, Zhao Li. New soliton solutions of the conformal time derivative generalized $ q $-deformed sinh-Gordon equation[J]. AIMS Mathematics, 2024, 9(2): 4194-4204. doi: 10.3934/math.2024206

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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.

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