Masataka Kanki   Jun Mada   Takafumi Mase   Tetsuji Tokihiro   
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 47(46) 2014年11月 [査読有り]
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 Somos-4 sequence, and also a non-integrable equation as a comparis...
Masataka Kanki   Jun Mada   Tetsuji Tokihiro   
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 47(6) 2014年2月 [査読有り]
We study the distribution of singularities for partial difference equations, in particular, the bilinear and nonlinear form of the discrete version of the Korteweg-de Vries (dKdV) equation. Using the Laurent property, and the irreducibility, and c...
Masataka Kanki   Jun Mada   Tetsuji Tokihiro   
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 20 101-109 2013年 [査読有り]
We investigate the discrete Painleve equations (dP(II) and qP(II)) over finite fields. We first show that they are well defined by extending the domain according to the theory of the space of initial conditions. Then we treat them over local field...
M. Kanki   J. Mada   K. M. Tamizhmani   T. Tokihiro   
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 45(34) 2012年8月 [査読有り]
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 finite fields. We can use this property, which seems to be an arithmet...
Masataka Kanki   Jun Mada   Tetsuji Tokihiro   
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 81(8) 2012年8月 [査読有り]
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 unlike the soliton solutions of the KdV equation. This phenomenon is i...
Journal of the Physical Society of Japan 55(5) 1420-1423 1986年
We find a systematic procedure constructing the 2D and 3D “periodic” Penrose tilings, which tend to the infinite Penrose tilings. The electronic states in the 2d Penrose tiling are studied by using this sequence. We observe that the spectral measu...