A new exploration of some explicit soliton solutions of q-deformed Sinh-Gordon equation utilizing two novel techniques

Abstract

In the present work, the q-deformed Sinh-Gordon equation considered by performing new extended generalized Kudryashov method and improved tan(Φ2)-expansion method. Thanks to these methods, we can effectively obtain rational, hyperbolic and trigonometric solutions by specially choosing the parameters for the existence of solutions. The proposed equation expands the possibilities for modeling physical systems in which symmetry is broken. The obtained solutions are graphically illustrated.