On the finite time singularities for a class of Degasperis-Procesi equations

被引：3
|
作者：
Wu, Xinglong [1 ]
机构：
[1] Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Hubei, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2018年 / 44卷
关键词：
A class of Degasperis-Procesi equations; Local well-posedness; Finite time singularities; The lifespan of solution; PERIODIC INTEGRABLE EQUATION; BLOW-UP PHENOMENA; PEAKON SOLUTIONS; GLOBAL EXISTENCE; CAUCHY-PROBLEM; SHOCK-WAVES; WATER-WAVES;
D O I：
10.1016/j.nonrwa.2018.04.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
As we all know, the conservation laws take an important part in deriving wave breaking for Degasperis-Procesi (DP) type equation. In the article, we give a new method to study singularities in finite time for a class of DP equations with high nonlinear terms. The paper tells us that the result of wave breaking can be established without the conservation law. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 17
页数：17
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