题目： Explicit Flow Equations and Recursion Operator of the ncKP hierarchy

报告人：贺劲松教授 （宁波大学）

时  间：12月29日 星期四下午3:00--4:00

地  点：管理科研楼1518

摘  要：The explicit expression of the flow equations of the noncommutative Kadomtsev�Petviashvili (ncKP) hierarchy is derived. Compared with the flow equations of the KP hierarchy, our result shows that the additional terms in the flow equations of the ncKP hierarchy indeed consist of commutators of dynamical coordinates {ui}. The recursion operator for the flowequations under n-reduction is presented. Further, under 2-reduction, we calculate a nonlocal recursion operator  (2) of the noncommutative Korteweg�de Vries(ncKdV) hierarchy, which generates a hierarchy of local, higher-order flows. Thus we solve the open problem proposed by Olver and Sokolov (1998 Commun. Math.Phys. 193 245�68). The main results of this talk have been published in Nonlinearity（vol.24,2011，2875-2890）.

主办单位：中国科学技术大学数学科学学院          国家数学与交叉科学中心合肥分中心          中科院吴文俊数学重点实验室