Институт теоретической физики им. Л.Д. Ландау РАН
L.D. Landau Institute for Theoretical Physics RAS
Landau Days 2022 June, 27-30, 2022 Chernogolovka, Russia

Double-periodic rogue waves type solutions of the focusing Davey-Stewardson-2 equation: the finite-gap approach
Date/Time: 14:30 27-Jun-2022
Abstract:
Recently in a series of papers we developed finite-gas approach to the periodic anomalous waves Cauchy problem for the focusing Nonlinear Schrodinger equation. Due to the presence of a small parameter in this problem the leading order approximation of the finite-gap solutions can be written in terms of elementary functions (and remains highly non-linear).

In the present work we derive analogous elementary formulas for the focusing Davey-Stewardson 2 equation, which is an integrable 2+1 systems admitting rogue-waves type solutions.

Video

Authors
Grinevich Petr Georgievich (Presenter)