Instability of the solitary wave solutions for the generalized derivative nonlinear Schrodinger equation in the endpoint case

被引：1

作者：

Li, Bing ^{[1
]}

Ning, Cui ^{[2
]}

机构：

[1] Chengdu Univ Technol, Sch Math Sci, Chengdu 610059, Peoples R China

[2] Guangdong Univ Finance, Sch Financial Math & Stat, Guangzhou 510521, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2025年 / 252卷

关键词：

Generalized DNLS; Orbital instability; Solitary wave solutions; Endpoint case; GLOBAL WELL-POSEDNESS; ORBITAL STABILITY; UNIQUENESS; EXISTENCE; SCATTERING; REGULARITY;

D O I：

10.1016/j.na.2024.113713

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stability theory of solitary wave solutions for the generalized derivative nonlinear Schrodinger equation i partial derivative(t)u + partial derivative(2)(x)u + i vertical bar u vertical bar(2 sigma)partial derivative(x)u = 0, where 1 < sigma < 2. The equation has a two-parameter family of solitary wave solutions of the form u(omega,c)(t,x) = e(t omega t+tc/2(x-ct)-t/2 sigma+2) integral(-infinity x-ci) phi(omega,c2 sigma(y)dy) phi((x-ct)(omega,c)). The stability theory in the frequency region of vertical bar c vertical bar < 2 root omega was thoroughly studied previously. In this paper, we prove the instability of the solitary wave solutions in the endpoint case c = 2 root omega.

引用

页数：14

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