Skip Navigation

International Mathematics Research Notices (2000) 2000:383-412, doi:10.1155/S1073792800000222
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Krichever, I.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

Elliptic analog of the Toda lattice

I. Krichever

The action-angle variables for an N-particle Hamiltonian system with the Hamiltonian Formula are constructed, and the system is solved in terms of the Riemann {theta}-functions. It is shown that this system describes pole dynamics of the elliptic solutions of a 2-dimensional Toda lattice corresponding to spectral curves defined by the equation Formula, where Formula is an elliptic function with pole of order N at the point z = 0.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 Int Math Res NoticesHome page
A. Dzhamay
On the Lagrangian Structure of the Discrete Isospectral and Isomonodromic Transformations
Int Math Res Notices, January 1, 2008; 2008(rnn102): rnn102 - 22.
[Abstract] [PDF]


Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.