KP-mKP ·½³Ì×åÓëË«µ¼ÊýÄâ΢·ÖËã×Ó

2024.01.31

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»ã±¨±êÌâ (Title)£ºKP-mKP ·½³Ì×åÓëË«µ¼ÊýÄâ΢·ÖËã×Ó

»ã±¨ÈË (Speaker)£ºÎ⳯ÖÐ ½ÌÊÚ£¨ÖÐɽ´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê02ÔÂ01ÈÕ(ÖÜËÄ) 10:00-12:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒéID£º950-446-458

Ô¼ÇëÈË(Inviter)£ºÕÅÐÛʦ ½ÌÊÚ

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»ã±¨ÌáÒª£ºBy 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.

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