Solitary Waves for Linearly Coupled Nonlinear Schrodinger Equations with Inhomogeneous Coefficients

被引：30

作者：

Belmonte-Beitia, Juan ^{[1
,2
]}

Perez-Garcia, Victor M. ^{[1
,2
]}

Torres, Pedro J. ^{[3
]}

机构：

[1] Univ Castilla La Mancha, Dept Matemat, ETS Ingenieros Ind, E-13071 Ciudad Real, Spain

[2] Univ Castilla La Mancha, IMACI, E-13071 Ciudad Real, Spain

[3] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

JOURNAL OF NONLINEAR SCIENCE | 2009年 / 19卷 / 04期

关键词：

Nonlinear Schrodinger systems; Solitary waves; Fixed-point theorems in cones; POSITIVE SOLUTIONS; EINSTEIN; OSCILLATIONS; SOLITONS; DYNAMICS; POISSON;

D O I：

10.1007/s00332-008-9037-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the study of matter waves in Bose-Einstein condensates and coupled nonlinear optical systems, we study a system of two coupled nonlinear Schrodinger equations with inhomogeneous parameters, including a linear coupling. For that system, we prove the existence of two different kinds of homoclinic solutions to the origin describing solitary waves of physical relevance. We use a Krasnoselskii fixed point theorem together with a suitable compactness criterion.

引用

页码：437 / 451

页数：15

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