期刊
PHYSICS LETTERS A
卷 372, 期 4, 页码 417-423出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2007.07.051
关键词
(G '/G)-expansion method; homogeneous balance; travelling wave solutions; solitary wave solutions; KdV equation; mKdV equation; variant Boussinesq equations; Hirota-Satsuma equations
The (G'/G)-expansion method is firstly proposed, where G = G(xi) satisfies a second order linear ordinary differential equation (LODE for short), by which the travelling wave solutions involving parameters of the KdV equation, the mKdV equation, the variant Boussinesq equations and the Hirota-Satsuma equations are obtained. When the parameters are taken as special values the solitary waves are also derived from the travelling waves. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The proposed method is direct, concise, elementary and effective, and can be used for many other nonlinear evolution equations. (C) 2007 Published by Elsevier B.V.
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