New soliton solutions for the conformal time derivative q-deformed physical model

Abstract

In the present study, the conformal time derivative generalized q-deformed Sinh–Gordon equation is discussed analytically and numerically. This work is a continuation of a series of works presented recently, but we have developed the form of the equation in a way that all previous studies are a special case of it. We presented an extensive analytical and numerical study of the proposed equation using the (G′/G)-expansion approach and the exponential cubic B-spline algorithm respectively. Several figures are also provided to show the different solitons propagation patterns. The proposed model has opened up new options for describing physical systems that have lost their symmetry.

Keywords

• q-deformed Sinh–Gordon equation
• Conformal time derivative definition
• Solitos solutions
• The (G’/G)-expansion approach
• The exponential cubic B-spline algorithm