### On spectral theory of soliton gases for integrable equations

Mathematical Physics Seminar

2nd December 2022, 1:45 pm – 3:30 pm

Fry Building, 2.04

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 2N of the corresponding hyperelliptic Riemann surfaces combined with simultaneous (exponentially fast in N) shrinking of the bands. We discuss recent developments of the theory, including the average densities and fluxes of soliton gases, the thermodynamic limit of quasimomenta and quasienergy differentials, periodic soliton gases, etc.

*Biography:*

Talk recording: https://mediasite.bris.ac.uk/Mediasite/Play/9ee8a8facac6428587a6fb6c1201b23e1d

*Organiser*: Thomas Bothner

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