BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Chun-Xia Li DTSTART:20240315T080000Z DTEND:20240315T090000Z DTSTAMP:20260423T011158Z UID:NIS2024/15 DESCRIPTION:Title: On construction and integrability of the noncommutative extended KP equat ion and the noncommutative extended mKP equation\nby Chun-Xia Li as pa rt of Seminar-Type Workshop on Noncommutative Integrable Systems\n\n\nAbst ract\nGeneralization of soliton theory and integrable systems to their non commutative counterparts is an interesting topic. Some classical integrabl e systems have been generalized to their noncommutative versions and their integrability has been investigated. Moreover\, as is known that integrab le systems are closely related to other topcis such as orthogonal polynomi als and combinatorics. Their noncommutative generalization is of great res earch interest too. KP equation is one of the most fundamental among many soliton equations. Its generalizations and extensions have been paid much attention to. In this talk\, I will talk about how to construct the noncom mutative extended KP equation and the noncommutative extended modified KP equation by using variation of parameter. As a consequence\, two types of quasideterminant solutions are presented for the two noncommutative extend ed integrable systems respectively. In addition\, Miura transformations be tween them are established successfully as well.\n LOCATION:https://researchseminars.org/talk/NIS2024/15/ END:VEVENT END:VCALENDAR