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SUMMARY:Emergent hydrodynamics of soliton gases in integrable systems: INI
 -RIMS Collaboration - Gennady El (Northumbria University)
DTSTART:20221003T080000Z
DTEND:20221003T090000Z
UID:TALK176660@talks.cam.ac.uk
DESCRIPTION:Soliton gases represent infinite random ensembles of interacti
 ng solitons displaying &nbsp\;nontrivial large-scale &nbsp\;behaviours ult
 imately determined by the properties of the elementary two-soliton collisi
 ons.&nbsp\; The emergent hydrodynamics of non-equilibrium soliton gases in
  integrable dispersive systems such as the Korteweg-de Vries and nonlinear
  Schr\\"odinger equations is described by the universal nonlinear integro-
 differential kinetic equation for the density of states in the spectral (L
 ax) phase space. In my talk\, I will outline the main ideas of the spectra
 l &nbsp\;theory of soliton gases and its connection with the fundamental c
 oncept of ``integrable turbulence&rsquo\;&rsquo\; introduced by Zakharov i
 n 2009.&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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