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

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

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.

Suggested Citation

  • Geng, Tao & Shan, Wen-Rui & Lü, Xing & Cai, Ke-Jie & Zhang, Cheng & Tian, Bo, 2009. "New solitary solutions and non-elastic interactions of the (2+1)-dimensional variable-coefficient Broer–Kaup system with symbolic computation," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2230-2235.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2230-2235
    DOI: 10.1016/j.chaos.2009.03.136
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    References listed on IDEAS

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    1. Zheng, Chun-Long & Chen, Li-Qun, 2005. "Solitons with fission and fusion behaviors in a variable coefficient Broer–Kaup system," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1347-1351.
    2. Dai, Chaoqing, 2008. "Semifoldons with fusion and fission properties of (2+1)-dimensional nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 474-480.
    3. Chen, Aihua & Li, Xuemei, 2006. "Darboux transformation and soliton solutions for Boussinesq–Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 43-49.
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