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SUMMARY:The singularity structure of the discrete KdV and mKdV equations
DTSTART;VALUE=DATE-TIME:20230622T071500Z
DTEND;VALUE=DATE-TIME:20230622T074500Z
DTSTAMP;VALUE=DATE-TIME:20260417T100912Z
UID:indico-contribution-19@cern.ch
DESCRIPTION:Speakers: Prof. WILLOX\, Ralph (the University of Tokyo)\nAlth
 ough the notion of singularity confinement was first introduced for the di
 screte KdV (dKdV) equation\, as of yet there is still no rigorous definiti
 on of the notion of `confinement' for lattice equations. In fact\, somewha
 t ironically\, it has taken nearly 30 years before an exhaustive study of 
 the singularities of the dKdV equation finally revealed their intriguing p
 roperties and the full richness of the singularity structures they produce
 . \nIn this talk I will explain the basic classification of singularities 
 for the dKdV and mKdV equations\, which involves a novel `strip-like' type
  of singularity. These strips or bands can interact with the singularities
  of other types\, producing singularity patterns of increasing complexity.
  Moreover\, I will show that the interaction of these singularities with a
  particular type of singularity can be described using a special symbolic 
 dynamics which turns out to be equivalent to the Takahashi-Satsuma Box&Bal
 l dynamics.\n\nhttp://indico.fuw.edu.pl/contributionDisplay.py?contribId=1
 9&sessionId=0&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=19&sessionId
 =0&confId=67
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