Journal of Nonlinear Mathematical Physics

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Volume 8, Issue Supplement, February 2001, Pages 118 - 127

Bihamiltonian Geometry and Separation of Variables for Toda Lattices

Authors
Gregorio Falqui, Franco Magri, Marco Pedroni
Corresponding Author
Gregorio Falqui
Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.s.21How to use a DOI?
Abstract

We discuss the bihamiltonian geometry of the Toda lattice (periodic and open). Using some recent results on the separation of variables for bihamiltonian manifold, we show that these systems can be explicitly integrated via the classical Hamilton­Jacobi method in the so-called Darboux­Nijenhuis coordinates.

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
8 - Supplement
Pages
118 - 127
Publication Date
2001/02/01
ISBN
91-631-0262-5
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.s.21How 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  - Gregorio Falqui
AU  - Franco Magri
AU  - Marco Pedroni
PY  - 2001
DA  - 2001/02/01
TI  - Bihamiltonian Geometry and Separation of Variables for Toda Lattices
JO  - Journal of Nonlinear Mathematical Physics
SP  - 118
EP  - 127
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.21
DO  - 10.2991/jnmp.2001.8.s.21
ID  - Falqui2001
ER  -