On blow-up of solutions to the two-component π-Camassa-Holm system

被引：2
|
作者：
Ma, Caochuan [1 ]
Alsaedi, Ahmed [2 ]
Hayat, Tasawar [2 ,3 ,4 ]
Zhou, Yong [2 ,5 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
[2] King Abdulaziz Univ, Fac Sci, Res Grp, NAAM, Jeddah 21589, Saudi Arabia
[3] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
[4] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[5] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 02期
关键词：
pi-Camassa-Holm system; Geodesic flow; Blow-up; Blow-up rate; SHALLOW-WATER EQUATION; WAVE BREAKING; SOLITONS; GEOMETRY;
D O I：
10.1016/j.jmaa.2015.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate Cauchy problem of the two-component pi-Camassa-Holm system which arises from geodesic flow on a semidirect product Lie group of the circle. The precise blow-up scenarios of strong solutions are derived for the system. Then, several criteria to guarantee blow-up of strong solutions are presented. Finally, the exact blow-up rate is determined. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：1026 / 1039
页数：14
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