BIFURCATION FROM SEMITRIVIAL STANDING WAVES AND GROUND STATES FOR A SYSTEM OF NONLINEAR SCHRODINGER EQUATIONS

被引：16

作者：

Colin, Mathieu ^{[1
,2
]}

Ohta, Masahito ^{[3
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France

[2] INRIA Bordeaux Sud Ouest, EPI MC2, F-33405 Talence, France

[3] Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2012年 / 44卷 / 01期

关键词：

nonlinear Schrodinger equations; standing wave; stability; ground state; CONCENTRATION-COMPACTNESS PRINCIPLE; KLEIN-GORDON EQUATIONS; SOLITARY WAVES; ORBITAL STABILITY; BOUND-STATES; INSTABILITY; CALCULUS;

D O I：

10.1137/110823808

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a system of nonlinear Schrodinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating from the semitrivial standing wave of the system. The stability and instability of the semitrivial standing wave at the bifurcation point are also studied. Moreover, we determine the set of the ground states completely.

引用

页码：206 / 223

页数：18

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