Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 4, November 2003, Pages 431 - 450

Multiple Hamiltonian Structures and Lax Pairs for Bogoyavlensky­Volterra Systems

Authors
Stelios P. Kouzaris
Corresponding Author
Stelios P. Kouzaris
Received 25 November 2002, Accepted 6 March 2003, Available Online 1 November 2003.
DOI
10.2991/jnmp.2003.10.4.2How to use a DOI?
Abstract

Results on the Volterra model which is associated to the simple Lie algebra of type An are extended to the Bogoyavlensky­Volterra systems of type Bn, Cn and Dn. In paticular we find Lax pairs, Hamiltonian and Casimir functions and multi-Hamiltonian structures. Moreover, we investigate recursion operators, higher Poisson brackets and master symmetries.

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
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 4
Pages
431 - 450
Publication Date
2003/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.4.2How 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

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TY  - JOUR
AU  - Stelios P. Kouzaris
PY  - 2003
DA  - 2003/11/01
TI  - Multiple Hamiltonian Structures and Lax Pairs for Bogoyavlensky­Volterra Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 431
EP  - 450
VL  - 10
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.4.2
DO  - 10.2991/jnmp.2003.10.4.2
ID  - Kouzaris2003
ER  -