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SUMMARY:On spectral theory of soliton and breather gases for integrable eq
 uations - Alexander Tovbis (University of Central Florida)
DTSTART:20221020T130000Z
DTEND:20221020T133000Z
UID:TALK182585@talks.cam.ac.uk
DESCRIPTION:Considering the focusing NLS as a model example\, we introduce
  soliton gas through the thermodynamic limit of multi-phase (finite gap) s
 olutions. This limit can be characterized by the growing genus 2N&nbsp\; o
 f the corresponding hyperelliptic Riemann surface combined with simultaneo
 us (exponentially fast in N) shrinking&nbsp\; of the bands. We present rec
 ent results on&nbsp\; the average densities and fluxes of solution gases\,
  on the thermodynamic limit of quasimomentum and quasienergy differentials
  and introduce and discuss periodic soliton gases.
LOCATION:Seminar Room 1\, Newton Institute
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