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

摘要

Making use of a new generalized ansaetze and a proper transformation, we generalized the extended tanh- function 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.