New study to construct new solitary wave solutions for generalized sinh Gordon equation

By means of the homogeneous balance method we explore a new application of this method for obtaining the new soliton solutions of the generalized sine–Gordon equation. The idea introduced in this paper can be applied to other nonlinear evo- lution equations.We present multiparameter exact solutions involving an arbitrary number of free parameters and give an exact solution that represents a non-linear superposition of a traveling wave.