On a generalized Camassa-Holm type equation with (k+1)-degree nonlinearities

被引：10

作者：

Guo, Zhengguang ^{[1
]}

Li, Kunquan ^{[2
]}

Xu, Chongbin ^{[1
]}

机构：

[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China

[2] Renmin Univ China, Sch Informat, 59 Zhongguancun St, Beijing 100872, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2018年 / 98卷 / 09期

基金：

中国国家自然科学基金;

关键词：

asymptotic description; Camassa-Holm type equation; estimate of momentum support; (k+1)-degree nonlinearities; 37L05; 35Q53; 35L05; NOVIKOV EQUATION; CAUCHY-PROBLEM; SUPPORT; PEAKONS;

D O I：

10.1002/zamm.201600055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A detailed asymptotic description for solutions to a generalized Camassa-Holm type equation with non-positive compactly supported initial momentum is shown. Moreover, as a by product, we give an estimate of the momentum support which will reveal more information of solutions by estimating the size of this region where solutions are not that well understood. A detailed asymptotic description for solutions to a generalized Camassa-Holm type equation with non-positive compactly supported initial momentum is shown. Moreover, as a by product, we give an estimate of the momentum support which will reveal more information of solutions by estimating the size of this region where solutions are not that well understood.

引用

页码：1567 / 1573

页数：7

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