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On the Oceanic/Laky Shallow-Water Dynamics through a Boussinesq-Burgers System

被引：9
|
作者：
Gao, Xin-Yi [1 ,2 ,3 ]
Guo, Yong-Jiang [1 ,2 ]
Shan, Wen-Rui [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
[3] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Ocean beaches; Lakes; Shallow-water waves; Boussinesq-Burgers system; Computerized symbolic computation; Hetero-Backlund transformation; Similarity reduction; 35-xx; 03Cxx; 70-XX; 76-XX; MULTISOLITON SOLUTIONS; REDUCTIONS;
D O I：
10.1007/s12346-023-00905-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivation/Development: In order to investigate the shallow-water waves, researchers have introduced many nice models, e.g., a Boussinesq-Burgers system for cetain shallow-water waves near an ocean beach/inside a lake, which we study here via computerized symbolic computation. Originality/Novelty with Potential Application: Concerning the height deviating from the equilibrium position of water as well as the field of horizontal velocity, we now construct a hetero-Backlund transformation coupling that system to a known partial differential system, as well as two sets of the similarity reductions, starting at that system towards a known ordinary differential equation. Both our hetero-Backlund transformation and similarity reductions lean upon the dispersive power in the shallow water. Results could help the further study on the oceanic/laky shallow-water dynamics.
引用
收藏
页数：11
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