Approximation of Solitons in the Discrete NLS Equation

Authors

J Cuevas
G James
PG Kevrekidis, University of Massachusetts - AmherstFollow
BA Malomed
B Sanchez-Rey

Publication Date

2008

Journal or Book Title

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Abstract

We study four different approximations for finding the profile of discrete solitons in the one- dimensional Discrete Nonlinear Schrödinger (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.

Comments

This is the prepublished version harvested from ArXiv. The published version is located at http://www.atlantis-press.com/publications/jnmp/

Pages

124-136

Volume

15

Supplement Issue

3

Recommended Citation

Cuevas, J; James, G; Kevrekidis, PG; Malomed, BA; and Sanchez-Rey, B, "Approximation of Solitons in the Discrete NLS Equation" (2008). JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. 60.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/60