title: |
Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS |
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publication: |
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| volume-issue: | 12 - Supplement 1 | |
| pages: | 440 - 448 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2005.12.s1.36 (how to use a DOI) | |
author(s): |
Decio LEVI, Rafael HERNANDEZ HEREDERO |
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publication date: |
January 2005 |
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abstract: |
In this paper we consider multiple lattices and functions defined on them. We itroduce some slow varying conditions and define a multiscale analysis on the lattice,
i.e. a way to express the variation of a function in one lattice in terms of an asymtotic expansion with respect to the other. We apply these results to the case of the
multiscale expansion of the differential-difference Nonlinear Schrödinger equation. |
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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: |