A New Generalization of Extended Tanh—Function Method for Solving Nonlinear Evolution Equations

Making use of a new generalized ansaetze and a proper transformation,we generalized the extended tanhfunction method.Applying the generalized method with the aid of Maple,we consider some nonlinear evolution equations.As a result,we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods.More importantly,for some equations,we also obtain other new and more general solutions at the same time.The results include kink-profile solitary-wave solutions,bell-profile solitary-wave solutions,periodic wave solutions,rational solutions,singular solutions and new formal solutions.