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nlin.SI2010★ 4 cited
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…
nlin.SI2010★ 5 cited
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…