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

被引：65
作者：
Gao, Xiao-Tian [1 ,2 ]
Tian, Bo [1 ,2 ]
Shen, Yuan [1 ,2 ]
Feng, Chun-Hui [1 ,2 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Oceanic water waves; Generalized (2+1)-dimensional; Bilinear forms; Hirota method; Similarity reductions; Symbolic computation; KADOMTSEV-PETVIASHVILI EQUATION; SIMILARITY REDUCTIONS; SCHRODINGER; EXISTENCE;
D O I：
10.1007/s12346-022-00617-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：12
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