Abstract:
F-expansion method proposed recently is extended to construct more exact solutions of nonlinear evolution equations with variable coefficients.To be more precise,variable coefficients is used instead of constant coefficients in F-expansion.As an illustrative example,by using the extended F-expansion method KdV equation with variable coefficients is solved,an abundance of exact solutions,especially the solutions expressed by two different Jacobi elliptic functions,have been obtained.Obviously,the extended F-expansion method can be applied to solve other type of nonlinear evolution equations with variable coefficients as well.