Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/9558
Title: A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
Authors: Xin, G
Chow, WK 
Liu, S
Issue Date: 2003
Source: Chaos, solitons and fractals, 2003, v. 15, no. 3, p. 559-566 How to cite?
Journal: Chaos, Solitons and Fractals 
Abstract: A new algebraic method is devised to uniformly construct a series of new travelling wave solutions for two variant Boussinesq equations. The solutions obtained in this paper include soliton solutions, rational solutions, triangular periodic solutions, Jacobi and Weierstrass doubly periodic wave solutions. Among them, the Jacobi elliptic periodic wave solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with most existing tanh methods, the proposed method gives new and more general solutions. More importantly, the method provides a guideline to classify the various types of the solution according to some parameters.
URI: http://hdl.handle.net/10397/9558
ISSN: 0960-0779
DOI: 10.1016/S0960-0779(02)00144-3
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