Alexander O. Smirnov, Grigory M. Golovachev, “Constructed in the elliptic functions three-phase solutions for the nonlinear Schrödinger equation”, Nelin. Dinam., 2013, Volume 9, Number 3,Pages <nobr>389

This article is cited in 5 papers

Constructed in the elliptic functions three-phase solutions for the nonlinear Schrödinger equation

Alexander O. Smirnov, Grigory M. Golovachev

Saint Petersburg State University of Airspace Instrumentation (SUAI), Bolshaya Morskaya str. 67, Saint Petersburg, 190000, Russia

Abstract: Three-phase finite-gap with behavior of almost-periodic freak waves solutions for the nonlinear Schrödinger and the KP-I equations were constructed. Dependencies of parameters of solutions from the parameters of spectral curve were studied.

Keywords: rogue waves, freak waves, nonlinear Schrödinger equation, KP equation, Hirota equation, theta-function, reduction, covering.

UDC: 517.957

MSC: 35Q53

Received: 03.03.2013
Revised: 31.05.2013