12 citations · 33 across the 9 of their papers we have counts for
6 papers · 1 filter
Discrete and Ultradiscrete Mixed Soliton Solutions
Hidetomo Nagai, Nobuhiko Shinzawa
We propose a new type of soliton equation, which is obtained from the generalized discrete BKP equation. The obtained equation admits two types of soliton solutions. The signs of a…
Discrete and Ultradiscrete Periodic Phase Soliton Equations
Hidetomo Nagai, Yasuhiro Ohta, Ryogo Hirota
We propose new type of discrete and ultradiscrete soliton equations, which admit extended soliton solution called periodic phase soliton solution. The discrete equation is derived…
Ultradiscrete Permanent Solution to the Ultradiscrete KP Equation
Hidetomo Nagai
We propose an ultradiscrete permanent solution to the ultradiscrete KP equation. The ultradiscrete permanent is an ultradiscrete analogue of the usual permanent. The elements on th…
Ultradiscrete Plücker Relation Specialized for Soliton Solutions
Hidetomo Nagai, Daisuke Takahashi
We propose an ultradiscrete analogue of Plücker relation specialized for soliton solutions. It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the…
Bilinear Equations and Bäcklund Transformation for Generalized Ultradiscrete Soliton Solution
Hidetomo Nagai, Daisuke Takahashi
Ultradiscrete soliton equations and Bäcklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete KdV equation or the ultradiscr…
A New Expression of Soliton Solution to the Ultradiscrete Toda Equation
Hidetomo Nagai
A new type of multi-soliton solution to the ultradiscrete Toda equation is proposed. The solution can be transformed into another expression of solution in a perturbation form. A d…