Non UBC
DSpace
Bernard Deconinck
2019-12-29T09:49:37Z
2019-07-01T16:50
A surprisingly large number of physically relevant dispersive partial
differential equations are integrable. Using the connection between
the spectrum and the eigenfunctions of the associated Lax pair and the
linear stability problem, we investigate the stability of the
spatially periodic traveling wave solutions of such equations,
extending the results to orbital stability in those case where
solutions are linearly stable. The talk will emphasize recent results
for the focusing NLS equation, as this situation is more complicated
than that of other equations previously studied, for which the Lax
pair is self adjoint.
https://circle.library.ubc.ca/rest/handle/2429/73014?expand=metadata
47.0 minutes
video/mp4
Author affiliation: University of Washington
Banff (Alta.)
10.14288/1.0387375
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial Differential Equations, Fourier Analysis
The stability of periodic solutions of integrable equations
Moving Image
http://hdl.handle.net/2429/73014