Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 4, November 2003, Pages 555 - 569

Toda Equations and -Functions of Genera One and Two

Authors
Shigeki Matsutani
Corresponding Author
Shigeki Matsutani
Received 14 February 2003, Accepted 5 April 2003, Available Online 1 November 2003.
DOI
10.2991/jnmp.2003.10.4.8How to use a DOI?
Abstract

We study the Toda equations in the continuous level, discrete level and ultradiscrete level in terms of elliptic and hyperelliptic and functions of genera one and two. The ultradiscrete Toda equation appears as a discrete-valuation of recursion relations of functions.

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
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 4
Pages
555 - 569
Publication Date
2003/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.4.8How 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  - Shigeki Matsutani
PY  - 2003
DA  - 2003/11/01
TI  - Toda Equations and -Functions of Genera One and Two
JO  - Journal of Nonlinear Mathematical Physics
SP  - 555
EP  - 569
VL  - 10
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.4.8
DO  - 10.2991/jnmp.2003.10.4.8
ID  - Matsutani2003
ER  -