﻿ (1+1)维GSWW方程的新显式精确解

(1+1)维GSWW方程的新显式精确解New Explicit Exact Solutions for the (1+1)-Dimensional Generalized Shallow Water Wave Equation

Abstract: In this paper, based on the basic idea of the (G'/G) expansion method, a class f(G,G') expansion method is constructed, in which the G functions are obtained by explicit solutions of a class of two order nonlinear ordinary differential equations. With this method to research the (1+1)-dimensional generalized shallow water wave equation, many forms of new travelling wave solutions are obtained. It is proved that the f(G,G') expansion method is very effective for obtaining explicit and exact solutions of many forms of nonlinear partial differential equations.

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