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2019.04.22--On some matrix Painleve hierarchies

 

 

 

报告人:Prof. Pilar Ruiz Gordoa
Universidad Rey Juan Carlos, Madrid, Spain

 目:On some matrix Painleve hierarchies

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

 

时间、地点: 2019.4.22下午100, 逸夫楼1537