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The (ω/g)-expansion method and its application to Vakhnenko equation

Author:
Li Wen-An   Chen Hao   Zhang Guo-Cai  


Journal:
Chinese Physics


Issue Date:
2009


Abstract(summary):

This paper presents a new function expansion method for finding travelling wave solutions of a nonlinear evolution equation and calls it the (ω/g)-expansion method, which can be thought of as the generalization of (G'/G)-expansion given by Wang et al recently. As an application of this new method, we study the well-known Vakhnenko equation which describes the propagation of high-frequency waves in a relaxing medium. With two new expansions, general types of soliton solutions and periodic solutions for Vakhnenko equation are obtained.


Page:
400-404


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