Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System

被引：0
作者：
Xiao-Tian Gao
Bo Tian
Yuan Shen
Chun-Hui Feng
机构：
[1] Beijing University of Posts and Telecommunications,State Key Laboratory of Information Photonics and Optical Communications, and School of Science
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Oceanic water waves; Generalized (2+1)-dimensional; Bilinear forms; Hirota method; Similarity reductions; Symbolic computation;
D O I：
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学科分类号：
摘要：
Under investigation in this paper is a generalized (2+1)-dimensional dispersive long-wave system, describing the nonlinear and dispersive long gravity waves in two horizontal directions in the shallow water of a wide channel of finite depth or an open sea. Via symbolic computation, we derive the same bilinear forms as those reported, but through a different method. Four sets of the similarity reductions are obtained, each of which leads to a known ordinary differential equation. The results rely on the coefficients in the original system, with respect to the horizontal velocity and wave elevation above the undisturbed water surface.
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