Abstract: Non-linear traveling wave equation is studied,and a kind of effective methods for solitary waves solution to a non-linear traveling wave equation is presented,which is a generalized form of Kdv equation and Mkdv equation.We use the relation between homoclinic orbit and solitary waves of planar autonomous ,and study the homoclinic orbits of autonomous system with various parameters using the bifurcation theory of dynamical systems and an analytical method.Existence of solitary waves of the nonlinear traving wave equation is investigated.

Key words: traving wave equation, solitary wave, homoclinic orbit