汇报标题 (Title)：KP-mKP 方程族与双导数拟微分算子
汇报人 (Speaker)：吴朝中 教授（榆林大学）
汇报功夫 (Time)：2024年02月01日(周四) 10:00-12:00
汇报地址 (Place)：腾讯会议ID：950-446-458
约请人(Inviter)：张雄师 教授
主办部门：理学院数学系
汇报提要：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.
