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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Anderson localisation for the nonlinear Schroeding
er Equation (NLSE): results and puzzles - Fishman\
, S (Technion)
DTSTART;TZID=Europe/London:20080822T100000
DTEND;TZID=Europe/London:20080822T110000
UID:TALK13158AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/13158
DESCRIPTION:The NLSE is relevant for the explorations of Bose-
Einstein Condensates and for Nonlinear Classical O
ptics. A natural question is whether Anderson Loca
lization survives the effect of nonlinearities in
one dimension. Relevant experimental\, numerical\,
heuristic and rigorous results will be presented.
A perturbation expansion in the nonlinear term wa
s developed and used to obtain a rigorous bound on
the spreading for short times. In particular it i
s found that exponential localization holds at lea
st for time scales inversely proportional to the s
quare of the nonlinearity. Conjectures on the long
time behavior will be presented.\n\nThe work repo
rted in the talk was done in collaboration with Av
y Soffer and Yevgeny Krivolapov.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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