Институт теоретической физики им. Л.Д. Ландау РАН
L.D. Landau Institute for Theoretical Physics RAS
Landau Days 2022
June, 27-30, 2022
Double-periodic rogue waves type solutions of the focusing Davey-Stewardson-2 equation: the finite-gap approach
Date/Time: 14:30 27-Jun-2022
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.
Grinevich Petr Georgievich
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