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SUMMARY:Bianchi (hyper-)cubes and a geometric unification of the Hirota an
 d Miwa equations - Schief\, W (University of New South Wales)
DTSTART:20130708T100000Z
DTEND:20130708T103000Z
UID:TALK46142@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We present a geometric and algebraic way of unifying two discr
 ete master equations of soliton theory\, namely the dKP (Hirota) and dBKP 
 (Miwa) equations. We demonstrate that so-called Cox lattices encapsulate B
 ianchi (hyper-)cubes associated with either simultaneous solutions of a no
 vel 14-point and the dBKP equations or solutions of the dKP equation\, dep
 ending on whether the Cox lattices are generic or degenerate.\n
LOCATION:Seminar Room 1\, Newton Institute
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