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SUMMARY:Transverse Instability of Peregrine Rogue Waves - Justin Cole (Uni
 versity of Colorado Colorado Springs)
DTSTART:20221205T150000Z
DTEND:20221205T153000Z
UID:TALK183758@talks.cam.ac.uk
DESCRIPTION:\n\n\n\nRogue waves\, or "freak waves"\, are large amplitude w
 aves that suddenly appear and then disappear. Originally the subject of fo
 lklore\, these types of waves have now been observed in numerous physical 
 systems such as water waves and fiber optics. A common rogue wave model is
  the one space\, one time (1+1) nonlinear Schrodinger (NLS) equation and t
 he Peregrine soliton solution which has a peak amplitude three times that 
 of the background. However\, in deep open water a more complete descriptio
 n is that of the 2+1 hyperbolic NLS equation with two significant transver
 se dimensions. It will be shown that the Peregrine soliton is transversely
  unstable to both long and short wavelength perturbations. Moreover\, the 
 instability spectrum coincides with that of the background plane wave.\n\n
 \n\n
LOCATION:Seminar Room 1\, Newton Institute
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