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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rational solutions of KP and BKP hierarchies through Toda lattice
户田晶格 KP BKP 层次结构 合理解
2023/4/27
The full Kostant-Toda lattice defined on simple Lie algebras can be viewed as finite version of KP type hierarchies. In this talk I will show you how to explicitly construct (all) rational solutions o...
On rational solutions of multicomponent and matrix KP hierarchies
On rational solutions multicomponent matrix KP hierarchies
2010/11/10
We derive some rational solutions for the multicomponent and matrix KP hierarchies generalising an approach by Wilson. Connections with the multicomponent version of the KP/CM correspondence are discu...
Rational solutions of Riccati-like partial differential equations
Rational solutions Riccati-like partial differential equations
2013/9/3
When factoring linear partial di erential systems with a nite-dimensional solution space or analysing symmetries of nonlinear ODEs, we need to look for rational solutions of certain nonlinear PDEs. T...
Polynomial and rational solutions of holonomic systems
Polynomial rational solutions holonomic systems
2010/10/29
The aim of this paper is to give two new algorithms, which are elimination free, to find polynomial and rational solutions for a given holonomic system associated to a set of linear differential oper...