报告题目 (Title)：KP-mKP 方程族与双导数拟微分算子

报告人 (Speaker)：吴朝中 教授（中山大学）

报告时间 (Time)：2024年02月01日(周四) 10:00-12:00

报告地点 (Place)：腾讯会议ID：950-446-458

邀请人(Inviter)：张大军 教授

主办部门：理学院数学系

报告摘要：By using pseudo-differential operators containing two derivations, we extend the KP hierarchy to a certain KP-mKP hierarchy. For the KP-mKP hierarchy, we obtain its Bäcklund transformations, bilinear equations of Baker-Akhiezer functions and Hirota equations of tau functions. Moreover, we show that this hierarchy is equivalent to a subhierarchy of the dispersive Whitham hierarchy associated to Riemann sphere with its infinity point and one movable point marked. This work is joint with Lumin Geng and Jianxun Hu.