From the KP hierarchy to the Painlev\'e equations
Seminar Room 1, Newton Institute
There are many examples of similarity reductions that connect soliton equations to the Painleve equations. In this talk, we will reformulate known examples from the viewpoint of the KP hierarchy and give a unified framework. As a result, the generic Painleve VI is obtained as a similarity reduction of the three-component KP hierarchy.
- http://www.hindawi.com/GetArticle.aspx?doi=10.1155/S1073792804141573 - Related paper 1
- http://www.iop.org/EJ/abstract/0305-4470/36/45/008 - Related paper 2
- http://arxiv.org/abs/nlin.SI/0508021 - Related paper 3
- http://arxiv.org/abs/nlin.SI/0605052 - Related paper 4