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Symbolic computation on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system for the water waves

Author

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  • Gao, Xin-Yi
  • Guo, Yong-Jiang
  • Shan, Wen-Rui

Abstract

Water waves attract people’s attention. For the water waves, a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system is hereby studied. As for the horizontal velocity and elevation of the water wave, on the one hand, with the scaling transformations and symbolic computation, a set of the hetero-Bäcklund transformations is constructed, linking the original system with a known generalized variable-coefficient Burgers equation. As for the horizontal velocity and elevation of the water wave, on the other hand, with symbolic computation, a set of the similarity reductions is constructed, from the original system to a known ordinary differential equation. All our results depend on the variable coefficients in the original system.

Suggested Citation

  • Gao, Xin-Yi & Guo, Yong-Jiang & Shan, Wen-Rui, 2021. "Symbolic computation on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system for the water waves," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004203
    DOI: 10.1016/j.chaos.2021.111066
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    Cited by:

    1. Ma, Yu-Lan & Li, Bang-Qing, 2022. "Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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