New solitary solutions and non-elastic interactions of the (2+1)-dimensional variable-coefficient Broer–Kaup system with symbolic computation

Tao Geng, Wen-Rui Shan, Xing Lü, Ke-Jie Cai, Cheng Zhang and Bo Tian

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 2230-2235

Abstract: Fusion and fission phenomena for solitary waves have been discovered theoretically and experimentally. In this paper, the (2+1)-dimensional variable-coefficient Broer–Kaup system is symbolically investigated. By employing the bilinear method, new solitary solutions with arbitrary functions are obtained. At the same time, the non-elastic interactions of solitary solutions are graphically studied. Furthermore, soliton fusion and fission phenomena are revealed by choosing appropriate functions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:4:p:2230-2235

DOI: 10.1016/j.chaos.2009.03.136

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