Journal
PHYSICS LETTERS A
Volume 356, Issue 2, Pages 124-130Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2006.03.034
Keywords
auxiliary equation; travelling wave solution; nonlinear equation
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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. (c) 2006 Elsevier B.V. All rights reserved.
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