Symmetric ground state solutions of m-coupled nonlinear Schrodinger equations

被引:15
作者
Hajaiej, Hichem [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
关键词
Schrodinger equations; Ground state; Cauchy problem; STANDING WAVES; SOLITARY WAVES; FIELD-EQUATIONS; EXISTENCE; PROPAGATION; BIFURCATION; SOLITONS; SYSTEM;
D O I
10.1016/j.na.2009.03.035
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the existence of radial and radially decreasing ground states of an m-coupled nonlinear Schrodinger equation with a general nonlinearity. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4696 / 4704
页数:9
相关论文
共 37 条
[1]  
AKHMEDIEV, 1997, SOLITONS NONLINEAR P
[2]   Partially coherent solitons on a finite background [J].
Akhmediev, N ;
Ankiewicz, A .
PHYSICAL REVIEW LETTERS, 1999, 82 (13) :2661-2664
[3]   Standing waves of some coupled nonlinear Schrodinger equations [J].
Ambrosetti, Antonio ;
Colorado, Eduardo .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 75 :67-82
[4]  
[Anonymous], 2003, Optical Solitons
[5]  
Bartsch T, 2006, J PARTIAL DIFFER EQ, V19, P200
[6]   PROPAGATION OF NONLINEAR WAVE ENVELOPES [J].
BENNEY, DJ ;
NEWELL, AC .
JOURNAL OF MATHEMATICS AND PHYSICS, 1967, 46 (02) :133-&
[7]  
BERESTYCKI H, 1983, CR ACAD SCI I-MATH, V297, P267
[8]  
BERESTYCKI H, 1983, CR ACAD SCI I-MATH, V297, P307
[9]  
BERESTYCKI H, 1980, BIFURCATION PHENOMEN
[10]  
BERESTYCKI H, 1983, ARCH RATIONAL MECH A, V82