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Solitons with fission and fusion behaviors in a variable coefficient Broer–Kaup system

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  • Zheng, Chun-Long
  • Chen, Li-Qun

Abstract

Using an extended homogeneous balance approach and a linear variable separation method, a general variable separation excitation of the (2+1)-dimensional variable coefficient Broer–Kaup (VCBK) system is derived. Based on the derived solution, we reveal soliton fission and fusion phenomena in the (2+1)-dimensional soliton system.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:5:p:1347-1351
    DOI: 10.1016/j.chaos.2004.09.069
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    Cited by:

    1. Kumar, Sachin & Dhiman, Shubham Kumar & Chauhan, Astha, 2022. "Symmetry reductions, generalized solutions and dynamics of wave profiles for the (2+1)-dimensional system of Broer–Kaup–Kupershmidt (BKK) equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 319-335.
    2. 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.

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