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SUMMARY:Lagrangian multiforms and discrete and semi-discrete KP systems
DTSTART;VALUE=DATE-TIME:20230621T093000Z
DTEND;VALUE=DATE-TIME:20230621T100000Z
DTSTAMP;VALUE=DATE-TIME:20260430T235542Z
UID:indico-contribution-15@cern.ch
DESCRIPTION:Speakers: Prof. NIJHOFF\, Frank (University of Leeds)\nRecentl
 y I presented a Lagrangian 3-form structure for a generalised Darboux syst
 em. The original Darboux system arose in connection with the theory of con
 jugate nets for systems of orthogonal curvilinear coordinates. The general
 ised system\, in which the relevant fields are labelled by continuous para
 meters which can be associated with lattice parameters of an underlying \n
 3-dimensional integrable discrete system\, amounts to a presentation of th
 e KP \nhierarchy in terms of Miwa variables\, and can be thought of as a "
 generating PDE" system for that hierarchy. In connection with this result\
 , the case of Lagrangian multiforms for fully discrete and semi-discrete K
 P type systems was left open\, except in the case of the bilinear form of 
 the discrete KP equation \nthe multiform structure of which was establishe
 d in 2009. In contrast\, I will present 3-form structures for the actual n
 onlinear forms of the (potential) discrete and semi-discrete KP equations.
 \n\nhttp://indico.fuw.edu.pl/contributionDisplay.py?contribId=15&sessionId
 =7&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=15&sessionId
 =7&confId=67
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