Stability of solitary waves for coupled nonlinear Schrodinger equations

被引:47
作者
Ohta, M
机构
[1] Department of Mathematical Sciences, University of Tokyo, Hongo
关键词
coupled nonlinear Schrodinger equations; orbital stability; solitary waves; concentration compactness;
D O I
10.1016/0362-546X(94)00340-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:933 / 939
页数:7
相关论文
共 15 条
[1]  
BERESTYCKI H, 1981, CR ACAD SCI I-MATH, V293, P489
[2]   ORBITAL STABILITY OF STANDING WAVES FOR SOME NON-LINEAR SCHRODING EQUATIONS [J].
CAZENAVE, T ;
LIONS, PL .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 85 (04) :549-561
[3]  
Cazenave T., 1989, TEXTOS METODOS MATEM, V22
[4]   STABILITY THEORY OF SOLITARY WAVES IN THE PRESENCE OF SYMMETRY .2. [J].
GRILLAKIS, M ;
SHATAH, J ;
STRAUSS, W .
JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 94 (02) :308-348
[5]   STABILITY THEORY OF SOLITARY WAVES IN THE PRESENCE OF SYMMETRY .1. [J].
GRILLAKIS, M ;
SHATAH, J ;
STRAUSS, W .
JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 74 (01) :160-197
[6]  
Iliev I.D., 1993, Differential Integral Equations, V6, P685
[7]  
LIONS PL, 1984, ANN I H POINCARE-AN, V1, P223
[8]  
LIONS PL, 1984, ANN I H POINCARE-AN, V1, P109
[9]   COUPLED NONLINEAR SCHRODINGER-EQUATIONS ARISING IN THE STUDY OF MONOMODE STEP-INDEX OPTICAL FIBERS [J].
NEWBOULT, GK ;
PARKER, DF ;
FAULKNER, TR .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (04) :930-936
[10]   STABLE STANDING WAVES OF NON-LINEAR KLEIN-GORDON EQUATIONS [J].
SHATAH, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 91 (03) :313-327