The elastic-fusion-coupled interaction for the Boussinesq equation and new soliton solutions of the KP equation

Wei-Guo Zhang, Yan-Nan Zhao and Ai-Hua Chen

Applied Mathematics and Computation, 2015, vol. 259, issue C, 251-257

Abstract: In this paper, by using of the classical Darboux transformation method, we obtain explicit solutions of the Boussinesq equation and the Kadomtsev–Petviashvili (KP) equation. Especially, for the Boussinesq equation we get explicit solutions describing the elastic-fusion-coupled interaction, which is a new phenomenon for the Boussinesq equation. For the KP equation, we obtain new soliton solutions.

Keywords: Darboux transformation; Boussinesq equation; KP equation; Elastic-fusion-coupled interaction; Explicit solutions (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:251-257

DOI: 10.1016/j.amc.2015.02.066

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