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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On spectral theory of soliton and breather gases f
 or integrable equations - Alexander Tovbis (Univer
 sity of Central Florida)
DTSTART;TZID=Europe/London:20221020T140000
DTEND;TZID=Europe/London:20221020T143000
UID:TALK182585AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/182585
DESCRIPTION:Considering the focusing NLS as a model example\, 
 we introduce soliton gas through the thermodynamic
  limit of multi-phase (finite gap) solutions. This
  limit can be characterized by the growing genus 2
 N&nbsp\; of the corresponding hyperelliptic Rieman
 n surface combined with simultaneous (exponentiall
 y fast in N) shrinking&nbsp\; of the bands. We pre
 sent recent results on&nbsp\; the average densitie
 s and fluxes of solution gases\, on the thermodyna
 mic limit of quasimomentum and quasienergy differe
 ntials and introduce and discuss periodic soliton 
 gases.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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