Abstract: In this paper,pseudopotential method is applied to KdV equation and higher degree KdV equation. For KdV equation we find the relative connection between pseudopotential and various travelling wave solutions of KdV equation, i. e. the discontinuous solution, the unbounded periodic solution and the soliton-like solution of KdV equation are determined by zero of pseudopotential function. The pseudopotential and solitary wave solution of the higher degree KdV equation and n-dimension higher degree KdV equation are presented.