18 citations · 128 across the 23 of their papers we have counts for
Showing 2012 · math-phShow all
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math-ph2012★ 6 cited
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…
math-ph2012★ 15 cited
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…
math-ph2012★ 1 cited
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…