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
收藏
页码：437 / 451
页数：15
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