Observable and reproducible rogue waves

    Authors

    A. Calini;C. M. Schober

    Comments

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    Abbreviated Journal Title

    J. Opt.

    Keywords

    extreme waves; nonlinear Schrodinger equation; stability of multi-mode; breathers; NONLINEAR SCHRODINGER-EQUATION; DEEP-WATER; DYNAMICS; NLS; Optics

    Abstract

    In physical regimes described by the cubic, focusing, nonlinear Schrodinger (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.

    Journal Title

    Journal of Optics

    Volume

    15

    Issue/Number

    10

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    9

    WOS Identifier

    WOS:000325093200009

    ISSN

    2040-8978

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