Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 363 - 371

Reductions of Integrable Lattices

Authors
B. Grammaticos, A. Ramani, J. Satsuma, R. Willox
Corresponding Author
B. Grammaticos
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.29How to use a DOI?
Abstract

We present a novel method for the reduction of integrable two-dimensional discrete systems to one-dimensional mappings. The procedure allows for the derivation of nonautonomous systems, which are typically discrete (difference or q) Painlevé equtions, or of autonomous ones. In the latter case we produce the discrete analogue of an integrable subcase of the Hénon-Heiles 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
12 - Supplement 1
Pages
363 - 371
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.29How 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  - B. Grammaticos
AU  - A. Ramani
AU  - J. Satsuma
AU  - R. Willox
PY  - 2005
DA  - 2005/01/01
TI  - Reductions of Integrable Lattices
JO  - Journal of Nonlinear Mathematical Physics
SP  - 363
EP  - 371
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.29
DO  - 10.2991/jnmp.2005.12.s1.29
ID  - Grammaticos2005
ER  -