15 citations · 56 across the 9 of their papers we have counts for
9 papers
Pattern formation of elliptic particles by two-body interactions: a model for dynamics of endothelial cells in angiogenesis
Tatsuya Hayashi, Fumitaka Yura, Jun Mada +2
A two-dimensional mathematical model for dynamics of endothelial cells in angiogenesis is investigated. Angiogenesis is a morphogenic process in which new blood vessels emerge from…
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…
Singularities of the discrete KdV equation and the Laurent property
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
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)…
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…
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…