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

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.

Keywords

• generalized $ q $-deformed sinh-gordon equation
• confornal time derivative definition
• complete discrimination system for the polynomial method