期刊
CHAOS SOLITONS & FRACTALS
卷 138, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.109950
关键词
Oceanic water waves; Generalized (2+1)-dimensional dispersive long-wave system; Non-auto- and auto-Backlund transformations; Solitons; Symbolic computation
资金
- Fundamental Research Funds for the Central Universities of China [2019XD-All]
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-Backlund transformations and two auto-Backlund transformations with solitons. All of our results are dependent on the constant coefficients in the original system. (C) 2020 Elsevier Ltd. All rights reserved.
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