Seminario interdisciplinare
ore
10:00
presso Seminario II
The rogue (anomalous) waves in nature are actively studied now. The
generation of such giant waves is an essentially non-linear phenomena, and
the focusing Nonlinear Schrodinger equation is treated as one of the basic
mathematical models. In the spatially periodic setting anomalous waves
correspond to special solutions associated with almost degenerate spectral
curves. In this seminar results obtained in collaboration with P.M. Santini will be presented.
We show that these special theta-functional solutions admits a
simple explicit approximation by elementary functions.
P.G. Grinevich was supported by RSF grant No 18-11-00316.