18 citations · 128 across the 23 of their papers we have counts for
5 papers · 1 filter
Integrability of Discrete Equations Modulo a Prime
Masataka Kanki
We apply the 'almost good reduction' (AGR) criterion, which has been introduced in our previous (arXiv:1206.4456 and arXiv:1209.0223), to several classes of discrete integrable equ…
The space of initial conditions and the property of an almost good reduction in discrete Painleve II equations over finite fields
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
Discrete versions of the Painleve equations (dPII and qPII) over finite fields are studied. We first show that they are well defined by extending the domain according to the theory…
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…
Discrete Integrable Equations over Finite Fields
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the fi…