Title

Rogue Waves: Analytical Predictions

Keywords

Breathers; Nonlinear Schrodinger equation; Rogue waves

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 multiphase nonlinear waves (rogue waves) through the sequence of successive multi-breather wavetrains. Some applications to ocean waves and laboratory experiments are presented. © 2013 The Author(s) Published by the Royal Society. All rights reserved.

Publication Date

9-8-2013

Publication Title

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volume

469

Issue

2157

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1098/rspa.2013.0094

Socpus ID

84883887284 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84883887284

This document is currently not available here.

Share

COinS