Title

Observable And Reproducible Rogue Waves

Keywords

extreme waves; nonlinear Schrödinger equation; stability of multi-mode breathers

Abstract

In physical regimes described by the cubic, focusing, nonlinear Schrödinger (NLS) equation, the N-dimensional homoclinic orbits of a constant amplitude wave with N unstable modes appear to be good candidates for experimentally observable and reproducible rogue waves. These homoclinic solutions include the Akhmediev breathers (N = 1), which are among the most widely adopted spatially periodic models of rogue waves, and their multi-mode generalizations (N > 1), and will be referred to as multi-mode breathers. Numerical simulations and a linear stability analysis indicate that the breathers with a maximal number of modes (maximal breathers) are robust with respect to rather general perturbations of the initial data in a neighborhood of the unstable background. © 2013 IOP Publishing Ltd.

Publication Date

1-1-2013

Publication Title

Journal of Optics (United Kingdom)

Volume

15

Issue

10

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/2040-8978/15/10/105201

Socpus ID

84885456925 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84885456925

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