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New solitons and periodic wave solutions for the dispersive long wave equations

A. Elgarayhi

Physica A: Statistical Mechanics and its Applications, 2006, vol. 361, issue 2, 416-428

Abstract: We make use of Jacobi elliptic functions to construct periodic wave solutions for the dispersive long wave equations. In the limit cases the multiple soliton solutions are also obtained. The properties of some periodic and soliton solutions for the dispersive long wave equations are shown by some figures. As a result, we can successfully obtain the solitary wave solutions that can be found by the previous work.

Keywords: Dispersive long wave equations; Double periodic solutions; Jacobi elliptic functions (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:361:y:2006:i:2:p:416-428

DOI: 10.1016/j.physa.2005.05.103

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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