Approximation of Solitons in the Discrete NLS Equation

被引：14

作者：

Cuevas, Jesus ^{[1
]}

James, Guillaume ^{[2
]}

Kevrekidis, Panayotis G. ^{[3
]}

Malomed, Boris A. ^{[4
]}

Sanchez-Rey, Bernardo ^{[1
]}

机构：

[1] EU Politecn, Dept Fis Aplicada 1, Grp Fis No Lineal, Seville 41011, Spain

[2] INSA Toulouse, UMR 5219, Inst Math Toulouse, F-31077 Toulouse 4, France

[3] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[4] Tel Aviv Univ, Fac Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / Suppl 3期

关键词：

D O I：

10.2991/jnmp.2008.15.s3.13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study four different approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrodinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational approach, an approximation to homoclinic orbits and a Green-function approach), and the other one is a quasi-continuum approximation. All the results are compared with numerical computations.

引用

页码：124 / 136

页数：13

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