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SUMMARY:Observation of Soliton Gases in optical fibers and deep water tank
  experiments - Pierre Suret (Université de Lille)
DTSTART:20221207T113000Z
DTEND:20221207T120000Z
UID:TALK183791@talks.cam.ac.uk
DESCRIPTION:The concept of soliton gas (SG) as a large ensemble of soliton
 s randomly distributed on an infinite line and elastically has been first 
 introduced by Zakharov [Sov. Phys. JETP 33\, 538 (1971)]. Zakharov&rsquo\;
 s kinetic equation describes diluted SG and has been generalized to the ca
 se of a dense SG [Phys. Rev. Lett. 95\,204101 (2005)\, PRE\, 101\, 052207 
 (2020)]. The SG is characterized by a density of state (DOS) which corresp
 onds to the spatial distribution of the spectral parameters (in the framew
 ork of inverse scattering transform.\n&nbsp\; We report the generation and
  the measurement of SG in water waves and in optical fiber experiments [Ph
 ys Rev. Lett. 125\, 264101 (2020)]. We show that the asymptotic stage of t
 he noise-induced modulation instability corresponds to a SG having a speci
 fic DOS. This SG can be described by a N-soliton solution of the focusing 
 one-dimensional nonlinear Schr&ouml\;dinger equation (1DNLSE). Our investi
 gations reveal a remarkable agreement between spectral (Fourier) and stati
 stical properties of the long-term evolution of the MI (observed in experi
 ments and in numerical simulations of the 1DNLSE) and those of a construct
 ed multisoliton\, random-phase bound states [Phys. Rev. Lett. 123 (23)\, 2
 34102 (2019)].
LOCATION:Seminar Room 1\, Newton Institute
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