The extended tanh method for solving some evolution equations

Abstract

In this paper we use the extended tanh method to formally derive traveling wave solutions for some evolution equations of the type u t − Du xx = ( B 0 + B 1 u ) u x + A 3 u 3 + A 2 u 2 + A 1 u + A 0 . The obtained solutions include, also, kink solutions. The extended tanh method presents a wide applicability for handling nonlinear evolution equations.