Application Extended Tanh Method for Solving Nonlinear Generalized Ito System

Abstract

In this paper, we generate new exact travelling wave solutions to the nonlinear generalized Ito system based on the extended tanh method with a computerized symbolic computation. It was obtained a various new solutions by applying this method and including solitons, kinks and plane periodic solutions. More importantly, for some equations, we also obtain other new and more general solutions at the same time. It is shown that the extended tanh method is straightforward and concise, and more powerful mathematical tool can be applied to other nonlinear partial differential equations arising in mathematical physics problems.

Keywords: Extended tanh method, nonlinear generalized Ito system.