43 citations · 57 across the 3 of their papers we have counts for
3 papers
nlin.SI2018★ 1 cited
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…
nlin.SI2002★ 13 cited
The Baecklund transformation equations for the ultradiscrete KP equation
Nobuhiko Shinzawa, Ryogo Hirota
The Baecklund transformation for the ultradiscrete KP equation is proposed. An algorithm to eliminate variables from the ultradiscrete linear equations is proposed. The consistency…
hep-th1995★ 43 cited
Pfaffian and Determinant Solutions to A Discretized Toda Equation for and
Atsuo Kuniba, Shuichi Nakamura, Ryogo Hirota
We consider a class of 2 dimensional Toda equations on discrete space-time. It has arisen as functional relations in commuting family of transfer matrices in solvable lattice model…