Breather solutions of the discrete nonlinear Schrodinger equations with unbounded potentials

被引：49

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.

引用

页数：12

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