15 citations · 56 across the 9 of their papers we have counts for
5 papers · 1 filter
Integrability criterion in terms of coprime property for the discrete Toda equation
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
We reformulate the singularity confinement of the discrete Toda equation. We prove the co-primeness property, which has been introduced in our previous paper (arXiv:1311.0060) as o…
Irreducibility and co-primeness as an integrability criterion for discrete equations
Masataka Kanki, Jun Mada, Takafumi Mase +1
We study the Laurent property, the irreducibility and co-primeness of discrete integrable and non-integrable equations. First we study a discrete integrable equation related to the…
Discrete Painleve equations and discrete KdV equation over finite fields
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
We investigate some of the discrete Painleve equations (dPII, qPI and qPII) and the discrete KdV equation over finite fields. The first part concerns the discrete Painleve equation…
Discrete Painleve II equation over finite fields
Masataka Kanki, Jun Mada, K. M. Tamizhmani +1
We investigate the discrete Painleve II equation over finite fields. We treat it over local fields and observe that it has a property that is similar to the good reduction over fin…
Soliton solutions of a generalized discrete KdV equation
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
We investigate the multi-soliton solutions to the generalized discrete KdV equation. In some cases a soliton with smaller amplitude moves faster than that with larger amplitude unl…