The Solitary Travelling Wave Perturbation Solution to a Class of (2+1) Dimensions Nonlinear Disturbed Equation

Abstract:

A class of higher dimensions disturbed breaking solitary equation is studied using the travelling wave transformation and perturbation theory. Firstly, from a travelling wave transformation, the higher dimension problem changes to one dimension problem. Next, the corresponding typical breaking equation is considered, and its exact solitary solution is obtained by using the undetermined coefficients projectile method. Then, using the perturbation method, the solitary travelling wave asymptotic solution to a disturbed breaking equation is found. Finely, it illustrate that, the obtained asymptotic solutions are simple and valid by using this method. And In this paper, the method has a universal significance. It also used for nonlinear physics and other physical problems.