Display Abstract

Title Ultradiscrete analogue of determinant solution for soliton equations

Name Hidetomo Nagai
Country Japan
Email hdnagai@aoni.waseda.jp
Co-Author(s)
Submit Time 2010-02-25 23:12:17
Session
Special Session 66: Discrete Integrable Systems
Contents
A new form of solutions to some ultradiscrete soliton equations are presented recently. It is called ultradiscrete permanent, which is defined by ultradiscretizing the permanent, that is, signature-free determinant. In this talk, we show properties and relations of the ultradiscrete permanents. Moreover, we prove ultradiscrete soliton solutions by means of an ultradiscrete analogue of Pl\"ucker relation.