15 citations · 87 across the 23 of their papers we have counts for
5 papers · 1 filter
The discrete Toda equation revisited, dual -Grothendieck polynomial, ultradiscretization and static soliton
Shinsuke Iwao, Hidetomo Nagai
This paper presents a study of the discrete Toda equation , that was introduced in 1977. In this paper, it has been proved that the…
Tropical curves and integrable piecewise linear maps
Rei Inoue, Shinsuke Iwao
We present applications of tropical geometry to some integrable piecewise-linear maps, based on the lecture given by one of the authors (R. I.) at the workshop "Tropical Geometry a…
Two dimensional periodic box-ball system and its fundamental cycle
Shinsuke Iwao
We study a 2-dimensional Box-Ball system which is a ultradiscrete analog of the discrete KP equation. We construct an algorithm to calculate the fundamental cycle, which is an impo…
Solution of the genaralized periodic discrete Toda equation
Shinsuke Iwao
A box-ball system with more than one kind of balls is obtained by the generalized periodic discrete Toda equation (pd Toda eq.). We study the pd Toda equation in view of algebraic…
Ultradiscretization of the solution of periodic Toda equation
Shinsuke Iwao, Tetsuji Tokihiro
A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda eq.). We show the relation between a Young diagram of the pBBS and a…