摘要
In this paper,the q-deformed Sinh-Gordon equation is solved analytically using a new general form based on the extended tanh approach.The numerical solutions of the equation is obtained using a b-spline finite element method.Also,we present numerous figures to demonstrate the various solitons propagation patterns.This type of equation has not been previously dealt with in such ways,whether analytical or numerical.This study is very useful in studying several physical systems that have lost their symmetry.