120 citations · 605 across the 41 of their papers we have counts for
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math-ph2010★ 10 cited
Conserved quantities and generalized solutions of the ultradiscrete KdV equation
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
We construct generalized solutions to the ultradiscrete KdV equation, including the so-called negative solition solutions. The method is based on the ultradiscretization of soliton…
math.AP2010
Existence and non-existence of global solutions for a discrete semilinear heat equation
Keisuke Matsuya, Tetsuji Tokihiro
Existence of global solutions to initial value problems for a discrete analogue of a d-dimensional semilinear heat equation is investigated. We prove that a parameter αin the parti…
nlin.CG2010★ 9 cited
Construction of an isotropic cellular automaton for a reaction-diffusion equation by means of a random walk
A. Nishiyama, T. Tokihiro
We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the rea…