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:古天乐代言太阳集团数学系
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.