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

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

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

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.

Keywords: Water wave; (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system; Hetero-Bäcklund transformation; Similarity reduction; Scaling transformation; Symbolic computation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004203

DOI: 10.1016/j.chaos.2021.111066

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