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SUMMARY:tau function\, vertex operator and linearization scheme associated
  with Lamé function
DTSTART;VALUE=DATE-TIME:20230621T103000Z
DTEND;VALUE=DATE-TIME:20230621T110000Z
DTSTAMP;VALUE=DATE-TIME:20260508T075853Z
UID:indico-contribution-31@cern.ch
DESCRIPTION:Speakers: Prof. ZHANG\, Da-jun (Shanghai University)\nThe talk
  contains two parts. In the first part I will describe a bilinear framewor
 k for elliptic soliton solutions (which are composed by the Lamé-type pla
 ne wave factors and expressed using Weierstrass functions). The framework 
 includes tau functions in Hirota’s form\, vertex operators to generate s
 uch tau functions and the associated bilinear identities. These are introd
 uced in detail for the KdV equation and sketched for the KP hierarchy. The
  second part I will report an elliptic direct linearisation scheme associa
 ted with discrete Lamé-type plane wave factors. This scheme allows us to 
 have lattice KP equations and lattice Boussinesq equations that have ellip
 tic soliton solutions. In both continuous can discrete cases\, the so-call
 ed elliptic N-th roots of unity are needed to define plane wave factors an
 d implement reductions. This talk is based on a joint work with Xing Li (a
 rxiv: 2204.01240) and a joint work with Frank Nijhoff and Yingying Sun (19
 09.02948).\n\nhttp://indico.fuw.edu.pl/contributionDisplay.py?contribId=31
 &sessionId=7&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=31&sessionId
 =7&confId=67
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