报告题目：Bilinear equations for an extended KP hierarchy

报告人：林润亮教授  清华大学

报告时间：2013年7月2日  星期二  下午5：30-6：30
  
报告地点：管理科研楼1218教室

报告摘要: In this talk, we will report the bilinear equations for an extended Kadomtsev-Petviashvili (KP) hierarchy. By introducing an auxiliary parameter, whose flow corresponds to the so-called squared eigenfunction symmetry of KP hierarchy,
we find the tau-function for this extended KP hierarchy.
It is  shown that the bilinear equations generate all the Hirota's bilinear equations for the zero-curvature forms of the
extended KP hierarchy, which includes two types of KP equation with self-consistent sources (KPSCS).

It seems that the Hirota's bilinear equations obtained in this paper for KPSCS are in a simpler form by comparing with the existing results.

This is a joint work with Xiaojun Liu (China Agricultural University) and Yunbo Zeng (Tsinghua University).

主办单位:  中国科学技术大学数学科学学院         
           中科院吴文俊数学重点实验室

欢迎感兴趣的师生参加!