Toda Equations and $σ$-Functions of Genera One and Two

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

No reviews yet.

No comments yet.