Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 440 - 448

Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS

Authors
Decio Levi, Rafael Hernandez Heredero
Corresponding Author
Decio Levi
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.36How to use a DOI?
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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
440 - 448
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.36How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Decio Levi
AU  - Rafael Hernandez Heredero
PY  - 2005
DA  - 2005/01/01
TI  - Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS
JO  - Journal of Nonlinear Mathematical Physics
SP  - 440
EP  - 448
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.36
DO  - 10.2991/jnmp.2005.12.s1.36
ID  - Levi2005
ER  -