GAP SOLITONS IN PERIODIC SCHRODINGER LATTICE SYSTEM WITH NONLINEAR HOPPING

被引：0

作者：

Chen, Ming ^{[1
,2
]}

Pankov, Alexander ^{[3
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

基金：

中国博士后科学基金;

关键词：

Discrete nonlinear Schrodinger equation; nonlinear hopping; gap soliton; linking theorem; periodic approximation; DISCRETE BREATHERS; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the periodic discrete Schrodinger equation with nonlinear hopping on the infinite integer lattice. We obtain the existence of gap solitons by the linking theorem and concentration compactness method together with a periodic approximation technique. In addition, the behavior of such solutions is studied as alpha -> 0. Notice that the nonlinear hopping can be sign changing.

引用

页数：14

共 18 条

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