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SUMMARY:The soliton vs. the gas: Fredholm determinants\, analysis and fine
 r details - Manuela Girotti (Saint Mary's University)
DTSTART:20220718T090000Z
DTEND:20220718T093000Z
UID:TALK176072@talks.cam.ac.uk
DESCRIPTION:We analyze the case of a (dense) mKdV soliton gas and its larg
 e time behaviour in the presence of a single trial soliton. The solution\,
  which can be expressed in terms of Fredholm determinants\, can be decompo
 sed as the sum of the background gas solution (an elliptic wave)\, plus a 
 soliton solution: the individual expressions are however quite convoluted 
 due to the interaction dynamics. We are also able to derive the kinetic ve
 locity equations and the local phase shift of the gas after the passage of
  the soliton\, and we can trace the location of the soliton peak as the dy
 namics evolves. This is a joint work with T. Grava (SISSA/Bristol)\, R. Je
 nkins (UCF)\, K. McLaughlin (CSU) and A. Minakov (U.Karlova).
LOCATION:Seminar Room 1\, Newton Institute
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