Toda Equations and $\sigma$-Functions of Genera One and Two
Mathematical Physics
2015-06-26 v1 Algebraic Geometry
math.MP
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.
Cite
@article{arxiv.math-ph/0305008,
title = {Toda Equations and $\sigma$-Functions of Genera One and Two},
author = {Shigeki Matsutani},
journal= {arXiv preprint arXiv:math-ph/0305008},
year = {2015}
}
Comments
16 pages