Strong instability of solitary waves for inhomogeneous nonlinear Schrodinger equations

被引：2

作者：

Wang, Chenglin ^{[1
]}

Zhang, Jian ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期

基金：

中国国家自然科学基金;

关键词：

inhomogeneous nonlinear Schrodinger equation; instability; sharp condition; variational problem; solitary wave; STANDING WAVES; BLOW-UP; STABILITY; EXISTENCE;

D O I：

10.1002/mma.7731

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the inhomogeneous nonlinear Schrodinger equations, which may model the propagation of laser beams in nonlinear optics. Using the cross-constrained variational method, a sharp condition for global existence is derived. Then, by solving a variational problem, the strong instability of solitary waves of this equation is proved.

引用

页码：14632 / 14642

页数：11

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