V. B. Matveev, P. Dubard, A. O. Smirnov, “Quasi-rational solutions of nonlinear Schrödinger equation”, Nelin. Dinam., 2015, Volume 11, Number 2,Pages <nobr>219

This article is cited in 2 papers

Original papers

Quasi-rational solutions of nonlinear Schrödinger equation

V. B. Matveev^a, P. Dubard^b, A. O. Smirnov^a

^a Saint-Petersburg State University of Aerospace Instrumentation
^b Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa

Abstract: The method for constructing quasi-rational solutions of the nonlinear Schrödinger equation, Kadomtsev – Petviashvili equation and some other integrable nonlinear equations is considered. Examples of range 2 and 3 solutions are given.

Keywords: rogue waves, freak waves, nonlinear Schrödinger equation, KP equation, Darboux transformation.

UDC: 517.957

MSC: 35Q55, 37K10

Received: 25.10.2014
Revised: 17.01.2015