15 citations · 37 across the 4 of their papers we have counts for
4 papers
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…
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…
Symmetric Linear Backlund Transformation for Discrete BKP and DKP equation
Nobuhiko Shinzawa
Proper lattices for the discrete BKP and the discrete DKP equaitons are determined. Linear Bäcklund transformation equations for the discrete BKP and the DKP equations are construc…
A Symmetric Generalization of Linear Bäcklund Transformation associated with the Hirota Bilinear Difference Equation
Nobuhiko Shinzawa, Satoru Saito
The Hirota bilinear difference equation is generalized to discrete space of arbitrary dimension. Solutions to the nonlinear difference equations can be obtained via Bäcklund transf…