Article ID Journal Published Year Pages File Type
1868300 Physics Letters A 2006 7 Pages PDF
Abstract

A new auxiliary ordinary differential equation and its solutions are used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the auxiliary equation which has more new exact solutions. More new exact travelling wave solutions are obtained for the quadratic nonlinear Klein–Gordon equation, the combined KdV and mKdV equation, the sine-Gordon equation and the Whitham–Broer–Kaup equations.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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