Approximated profiles for discrete solitons in DNLS lattices
Pattern Formation and Solitons
2015-05-20 v1
Abstract
We study four different approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schr\"odinger (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.
Cite
@article{arxiv.0712.1837,
title = {Approximated profiles for discrete solitons in DNLS lattices},
author = {J Cuevas and G James and P G Kevrekidis and B A Malomed and B Sanchez-Rey},
journal= {arXiv preprint arXiv:0712.1837},
year = {2015}
}
Comments
13 pages, 14 figures. Submitted to Procceedings of NEEDS'07 Conference