Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system

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

Chaos, Solitons & Fractals, 2020, vol. 138, issue C

Abstract: Oceanic water waves are actively studied. Hereby, taking into account the nonlinear and dispersive long gravity waves in two horizontal directions on the shallow water of an open sea or a wide channel of finite depth, we investigate a generalized (2+1)-dimensional dispersive long-wave system. With symbolic computation while with respect to the horizontal velocity and wave elevation above the undisturbed water surface, we work out two non-auto-Bäcklund transformations and two auto-Bäcklund transformations with solitons. All of our results are dependent on the constant coefficients in the original system.

Keywords: Oceanic water waves; Generalized (2+1)-dimensional dispersive long-wave system; Non-auto- and auto-Bäcklund transformations; Solitons; Symbolic computation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920303490

DOI: 10.1016/j.chaos.2020.109950

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