The well-posedness, blow-up, and traveling waves for a two-component Fornberg-Whitham system

被引：6

作者：

Xu, Fei ^{[1
]}

Zhang, Yong ^{[1
]}

Li, Fengquan ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 04期

基金：

中国国家自然科学基金;

关键词：

EQUATION; BREAKING;

D O I：

10.1063/5.0030436

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the two-component Fornberg-Whitham system is studied. We first investigate the local well-posedness in classical Sobolev space and establish a blow-up criterion by a local-in-time priori estimate, and then, we give some sufficient conditions on the initial data to lead to wave breaking. Finally, we discuss analytically the existence of periodic traveling waves by the bifurcation theorem.

引用

页数：17

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