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SUMMARY:Recent Developments in Spectral Theory of Focusing NLS Soliton Gas
 es: Average Densities\, Fluxes and Periodic Gases - Fudong Wang (Universit
 y of Central Florida)
DTSTART:20220909T133000Z
DTEND:20220909T143000Z
UID:TALK177857@talks.cam.ac.uk
DESCRIPTION:In this talk\, we will discuss soliton and breather gases for 
 one-dimensional integrable focusing Nonlinear Schr&ouml\;dinger Equation (
 fNLS). The derivation of average densities and fluxes for such gases will 
 be presented. Thermodynamic limits of quasimomentum\, quasienergy\, and th
 eir connections with the corresponding g-functions will also be discussed.
  We then introduce the notion of periodic fNLS gases and calculate for the
 m the average densities\, fluxes and thermodynamic limits of meromorphic d
 ifferentials\, including error estimation. Our results constitute another 
 step towards the mathematical foundation for the spectral theory of fNLS s
 oliton and breather gases that appeared in the work of G. El and A. Tovbis
 \, Phys. Rev. E\, 2020.\n(This is joint work with Alexander Tovbis)
LOCATION:Seminar Room 1\, Newton Institute
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