Standing waves of some coupled nonlinear Schrodinger equations

被引：337

作者：

Ambrosetti, Antonio ^{[1
]}

Colorado, Eduardo ^{[1
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2007年 / 75卷

关键词：

D O I：

10.1112/jlms/jdl020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with a class of systems of nonlinear Schrodinger equations, proving the existence of bound and ground states provided the coupling parameter is small and large, respectively.

引用

页码：67 / 82

页数：16

共 19 条

[1]

Akhmediev N., 1997, Solitons-Nonlinear Pulses and Beams

[2] Bound and ground states of coupled nonlinear Schrodinger equations [J].

Ambrosetti, A ;

Colorado, E .

COMPTES RENDUS MATHEMATIQUE, 2006, 342 (07) :453-458

[3]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[4]

Ambrosetti A., 1984, J MATH PHYS SCI, V18, P1

[5]

[Anonymous], 1974, Sov. Phys. JETP

[6] Positive solutions to perturbed elliptic problems in RN involving critical Sobolev exponent [J].

Cingolani, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (08) :1165-1178

[7] Orbitally stable standing waves for a system of coupled nonlinear Schrodinger equations [J].

Cipolatti, R ;

Zumpichiatti, W .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (03) :445-461

[8] 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

[9] Special set and solutions of coupled nonlinear Schrodinger equations [J].

Hioe, FT ;

Salter, TS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (42) :8913-8928

[10]

KAWOHL B, 1985, LECT NOTESK MATH, V1150

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