Skip navigation
Skip navigation

Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits

Kedziora, David J.; Ankiewicz, Adrian; Akhmediev, Nail

Description

We present an explicit analytic form for the two-breather solution of the nonlinear Schrödinger equation with imaginary eigenvalues. It describes various nonlinear combinations of Akhmediev breathers and Kuznetsov-Ma solitons. The degenerate case, when the two eigenvalues coincide, is quite involved. The standard inverse scattering technique does not generally provide an answer to this scenario. We show here that the solution can still be found as a special limit of the general second-order...[Show more]

CollectionsANU Research Publications
Date published: 2012-06-04
Type: Journal article
URI: http://hdl.handle.net/1885/12275
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics 85.6 (2012): 066601
DOI: 10.1103/PhysRevE.85.066601

Download

File Description SizeFormat Image
Kedziora_Second-orderNonlinea_2012.pdf7.49 MBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator