A New Expression of Soliton Solution to the Ultradiscrete Toda Equation
نویسنده
چکیده
A new type of multi-soliton solution to the ultradiscrete Toda equation is proposed. The solution can be transformed into another expression of solution in a perturbation form. A direct proof of the solution is also given.
منابع مشابه
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.
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