Some properties of solutions to the integrable Camassa-Holm type equation

被引：0
|
作者：
Zhu, Mingxuan [1 ,2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273100, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 158卷
关键词：
Camassa-Holm type equation; Propagation speed; Long time behavior; WELL-POSEDNESS; MODEL;
D O I：
10.1016/j.aml.2024.109247
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study an integrable Camassa-Holm type equation. We proved that if the initial datum u(0)equivalent to 0 is compactly supported in[a,c]; then the corresponding solution to the Camassa-Holm type equation has the following property: u(x,t) ={0, x> q(c,t); {l(t)e(x), x< q(a,t). Furthermore, l(t)<0is a continuous non-vanishing function and strictly decreasing. Long time behavior for the support of momentum density is also studied.
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页数：4
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