Институт теоретической физики им. Л.Д. Ландау РАН
L.D. Landau Institute for Theoretical Physics RAS
Landau Days 2017 June, 26-29 Chernogolovka, Russia

Direct problem for the defocusing NLS equation
Date/Time: 12:00 26-Jun-2017
Abstract:
We develop the direct scattering transform for the self-focusing NLS equation with periodic boundary conditions, which are small perturbation of the constant solution. In this case all finite-gap formulas are reduced to elementary functions, and we obtain $\epsilon$-expansion for the algebrogeometrical data. A comarison with numerical simulation using spectral-split approach is discussed.

Authors
Grinevich Petr Georgievich (Presenter)