On wave-breaking phenomena for a new generalized two-component shallow water wave system

被引：2
|
作者：
Dong, Xiaofang [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2021年 / 195卷 / 01期
关键词：
Two-component system; Shallow water wave; Wave-breaking phenomena; LOCAL WELL-POSEDNESS; BLOW-UP PHENOMENA; GLOBAL EXISTENCE; CAUCHY-PROBLEM; STABILITY; EQUATION; TRAJECTORIES; CRITERIA;
D O I：
10.1007/s00605-020-01473-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we mainly devote to investigate a generalized two-component Camassa-Holm system which can be derived from shallow water wave in equatorial ocean regions by Hu and Liu (Phys D 391:87-110, 2019). Depending on different real-valued interval of the competition or balance index sigma, we establish the new wave-breaking criteria and extend the earlier blow-up results for the system.
引用
收藏
页码：35 / 53
页数：19
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