TY - ELEC
AU - Bernard Deconinck
PY - 2019
TI - The stability of periodic solutions of integrable equations
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0387375
ER - End of Reference