title: |
Approximation of Solitons in the Discrete NLS Equation |
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publication: |
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| volume-issue: | 15 - supplement 3 | |
| pages: | 124 - 136 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s3.13 (how to use a DOI) | |
author(s): |
Jesus Cuevas, Guillaume James, Panayotis G. Kevrekidis, Boris A. Malomed, Bernardo Sanchez-Rey |
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publication date: |
October 2008 |
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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.
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |