Analytical and numerical study for the generalized <i>q</i>-deformed sinh-Gordon equation

Abstract In this article, we study the generalized q q -deformed sinh-Gordon equation analytically using new general form of Kudryashov’s approach and numerically finite difference method. We develop a Kudryashov method that contains more than one constant is used to give explanations for solutions are obtained. The numerical results also presented approach. provide numerous figures demonstrate various solitons propagation patterns. proposed has opened up options describing physical systems have lost their symmetry. under not been studied extensively, so completed lesson started short time ago on it.