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Dr Andreas Stahel (Bern University of applied Sciences, Switzerland)

Tuesday, February 25
4:00 PM
135 TMCB

From Korteweg-de Vries to Novikov-Veselov, and back

The Novikov-Veselov (NV) equations are a 2+1 dimensional generalization of the Korteweg-de Vries (KdV) equation. Using the additional space dimension solutions to NV exhibit a rich variety of behavior, and thus mathematical challenges. The close connection between planar solutions to NV and solutions to KdV is presented.

Using the K-expansion method the instability of a planar soliton of NV is examined. Using a spectral method the analytical results are illustrated by numerical simulations.