数学学科Seminar第2630讲 KP-mKP 方程族与双导数拟微分算子

创建时间:  2024/01/31  龚惠英   浏览次数:   返回

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.



下一条:物理学科Seminar第647讲 铁马冰河入梦来


数学学科Seminar第2630讲 KP-mKP 方程族与双导数拟微分算子

创建时间:  2024/01/31  龚惠英   浏览次数:   返回

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.



下一条:物理学科Seminar第647讲 铁马冰河入梦来