A note on coupled focusing nonlinear Schrodinger equations

被引：15

作者：

Saanouni, T. ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Partial Differential Equat & Applicat LR03ES04, Tunis 2092, Tunisia

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 09期

关键词：

Nonlinear Schrodinger system; ground state; potential well; global existence; blow-up; instability; GLOBAL WELL-POSEDNESS; STANDING WAVES; EXPONENTIAL-GROWTH; SCATTERING; SYSTEMS; INSTABILITY; DIMENSIONS; STATES; SPACE;

D O I：

10.1080/00036811.2015.1086757

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some focusing coupled Schrodinger equations are investigated. First, existence of ground state is obtained. Second, global existence and finite-time blow-up of solutions are discussed via potential well method. Finally, strong instability of standing waves is established.

引用

页码：2063 / 2080

页数：18

共 38 条

[1]

Adams R.A., 1975, Sobolev Spaces

[2] Partially coherent solitons on a finite background [J].