Diamond shaped standing wave patterns of a two-dimensional Boussinesq system

被引：2
作者：
Li, Shenghao [1 ]
Chen, Min [1 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
来源：
APPLIED NUMERICAL MATHEMATICS | 2019年 / 141卷
关键词：
Bifurcation standing wave patterns; Boussinesq system; Water waves; NONLINEAR DISPERSIVE MEDIA; AMPLITUDE LONG WAVES; EQUATIONS;
D O I：
10.1016/j.apnum.2018.07.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of a large family of two-dimensional diamond shaped standing waves for a Boussinesq system which describes two-way propagation of water waves in a channel. Our proof uses the Lyapunov-Schmidt method to find the bifurcation standing waves. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：91 / 101
页数：11
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