Rogue waves: analytical predictions

    Authors

    R. H. J. Grimshaw;A. Tovbis

    Comments

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    Abbreviated Journal Title

    Proc. R. Soc. A-Math. Phys. Eng. Sci.

    Keywords

    rogue waves; nonlinear Schrodinger equation; breathers; NONLINEAR SCHRODINGER-EQUATION; MODULATIONAL INSTABILITY; LIMIT; Multidisciplinary Sciences

    Abstract

    Rogue waves observed in the ocean and elsewhere are often modelled by certain solutions of the nonlinear Schrodinger equation, describing the modulational instability of a plane wave and the subsequent development of multi-phase nonlinear wavetrains. In this paper, we describe how integrability and application of the inverse scattering transform can be used to construct a class of explicit asymptotic solutions that describe this process. We discuss the universal mechanism of the onset of multi-phase nonlinear waves (rogue waves) through the sequence of successive multi-breather wavetrains. Some applications to ocean waves and laboratory experiments are presented.

    Journal Title

    Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences

    Volume

    469

    Issue/Number

    2157

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    10

    WOS Identifier

    WOS:000321254400007

    ISSN

    1364-5021

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