BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Nonlinear damped spatially periodic breathers and
the emergence of soliton-like rogue waves - Consta
nce Schober (University of Central Florida)
DTSTART;TZID=Europe/London:20220907T103000
DTEND;TZID=Europe/London:20220907T113000
UID:TALK177839AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/177839
DESCRIPTION:The spatially periodic breather solutions (SPBs) o
f the nonlinear Schrö\;dinger equation\, promi
nent in modeling rogue waves\, are unstable.\nIn t
his talk we numerically examine the routes to stab
ility of the SPBs and related rogue wave activity
in the framework of a nonlinear damped higher orde
r nonlinear Schrö\;dinger (NLD-HONLS) equation
.\nThe NLD-HONLS solutions are initialized with si
ngle-mode and two-mode SPB data at different stage
s of their development.\nThe Floquet spectral theo
ry of the NLS equation is applied to interpret and
provide a characterization of the perturbed dynam
ics in terms of nearby solutions of the NLS equati
on. A broad categorization of the routes to stabil
ity of the SPBs is determined. Novel behavior rela
ted to the effects of nonlinear damping is obtaine
d: tiny bands of complex spectrum develop in the F
loquet decomposition of the NLD-HONLS data\, indic
ating the breakup of the SPB into either a one or
two ``soliton-like'' structure.\nFor solutions ini
tialized in the early to middle stage of the devel
opment of the modulational instability\, we find t
hat all the rogue waves in the NLD-HONLS flow occu
r when the spectrum is in a one or two soliton-lik
e configuration.\nWhen the solutions are initializ
ed as the modulational instability is saturating\,
rogue waves may occur when the spectrum is not in
a soliton-like state.\nAnother distinctive featur
e of the nonlinear damped dynamics is that the gro
wth of instabilities can be delayed and expressed
at higher order due to permanent frequency downshi
fting.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
END:VEVENT
END:VCALENDAR