Title

Rogue waves: analytical predictions

Authors

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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