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SUMMARY:Stokes phenomenon in the propagation of weakly nonlinear wave pack
 ets - Gregory Kozyreff (Université Libre de Bruxelles)
DTSTART:20221031T112000Z
DTEND:20221031T121000Z
UID:TALK185174@talks.cam.ac.uk
DESCRIPTION:The universal theory of weakly nonlinear wave packets given by
  the nonlinear Schrodinger equation is revisited. In the limit where the g
 roup and phase velocities are very close together\, a multiple scale analy
 sis carried out beyond all orders reveals that a single soliton\, bright o
 r dark\, can travel at a different speed than the group velocity. In an ex
 ponentially small but finite range of parameters\, the envelope of the sol
 iton is locked to the rapid oscillations of the carrier wave. Eventually\,
  the dynamics is governed by an equation anologous to that of a pendulum\,
  in which the center of mass of the soliton is subjected to a periodic pot
 ential. Consequently\, the soliton speed is not constant and generally con
 tains a periodic component.
LOCATION:Seminar Room 1\, Newton Institute
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