报告问题 (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

报告所在 (Place)：腾讯聚会ID：950-446-458

约请人(Inviter)：张雄师 教授

主理部分：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 B?cklund 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.