Breather solutions of the discrete nonlinear Schrodinger equations with unbounded potentials

被引：44
|
作者：
Zhang, Guoping [1 ]
机构：
[1] Morgan State Univ, Dept Math, Baltimore, MD 21239 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 01期
关键词：
eigenvalues and eigenfunctions; nonlinear equations; Schrodinger equation; waves; SMOOTHING PROPERTY; LOCALIZED MODES; GAP SOLITONS; EXISTENCE; STABILITY; LATTICES;
D O I：
10.1063/1.3036182
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper I investigate the existence of nontrivial breather solutions of the discrete nonlinear Schrodinger equation with the unbounded potential at infinity. First I derive a discrete version of compact embedding theorem. Then combining the Nehari manifold approach and the compact embedding theorem, I show the existence of breather solutions without Palais-Smale condition. The results on the exponential decay of breather solutions are also provided in this paper.
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页数：12
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