Journal of Nonlinear Mathematical Physics

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Volume 15, Issue 2, August 2008, Pages 171 - 185

On bi-hamiltonian structure of some integrable systems

Authors
A.V. Tsiganov1
1St. Petersburg State University
Received 23 October 2007, Accepted 9 December 2007, Available Online 1 August 2008.
DOI
10.2991/jnmp.2008.15.2.5How to use a DOI?
Abstract

We classify quadratic Poisson structures on so (4) and e(3), which have the same foliations by symplectic leaves as canonical Lie-Poisson tensors. The separated variables for some of the corresponding bi-integrable systems are constructed.

Copyright
© 2008, 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
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 2
Pages
171 - 185
Publication Date
2008/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.2.5How to use a DOI?
Copyright
© 2008, 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  - A.V. Tsiganov
PY  - 2008
DA  - 2008/08/01
TI  - On bi-hamiltonian structure of some integrable systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 171
EP  - 185
VL  - 15
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.2.5
DO  - 10.2991/jnmp.2008.15.2.5
ID  - Tsiganov2008
ER  -