Journal of Nonlinear Mathematical Physics

Volume 10, Issue 2, May 2003, Pages 243 - 251

Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems

Authors
A.N. Leznov, J. Escobedo-Alatorre, R. torres-Cordoba
Corresponding Author
A.N. Leznov
Received 24 July 2002, Accepted 2 September 2002, Available Online 1 May 2003.
DOI
10.2991/jnmp.2003.10.2.7How to use a DOI?
Abstract

It is shown that in the case of multicomponent integrable systems connected with algebras An, the discrete transformation T possesses the fine structure and can be represented in the form T = Tli i , where Ti are n commuting basis discrete transfomations and li are arbitrary natural numbers. All the calculations are conducted in detail for the case of a 3-wave interacting system.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 2
Pages
243 - 251
Publication Date
2003/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.2.7How 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

TY  - JOUR
AU  - A.N. Leznov
AU  - J. Escobedo-Alatorre
AU  - R. torres-Cordoba
PY  - 2003
DA  - 2003/05/01
TI  - Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 243
EP  - 251
VL  - 10
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.2.7
DO  - 10.2991/jnmp.2003.10.2.7
ID  - Leznov2003
ER  -