题目：Second  and  fourth  matrix  Painlev′e  hierarchies

报告人：Pilar  Ruiz Gordoa

(Universidad Rey Juan Carlos, Madrid, Spain)

Abstract : In this talk we consider the construction of hierarchies of matrix ordinary differential equations, analogous to scalar Painlev′e hierarchies.  By considering generalized matrix KdV and mKdV hierarchies we derive a matrix first Painlev′e hierarchy and a matrix second Painlev′e hierarchy.  The relationship between the matrix mKdV equation and the  matrix  second  Painlev′e  equation  is  thus  clarified.   We  also  investigate  properties of  the  matrix  second  Painlev′e  hierarchy,  e.g.,  auto-B¨acklund  transformations.    We consider further examples of matrix Painlev′e equations.  Our work shows how properties of matrix ODEs can be derived using structures of related matrix PDEs.

时间：4月22日（周一）上午10:30-11：30

地点：565net必赢客户端本部教二楼 610 教室

联系人：李春霞

欢迎全体师生积极参加！