Extreme waves that appear from nowhere: On the nature of rogue waves

N. Akhmediev; J. M. Soto-Crespo; A. Ankiewicz

doi:10.1016/j.physleta.2009.04.023

Extreme waves that appear from nowhere: On the nature of rogue waves

N. Akhmediev
, J. M. Soto-Crespo^*
, A. Ankiewicz

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

611 Citations (Scopus)

Abstract

We have numerically calculated chaotic waves of the focusing nonlinear Schrr̈odinger equation (NLSE), starting with a plane wave modulated by relatively weak random waves. We show that the peaks with highest amplitude of the resulting wave composition (rogue waves) can be described in terms of exact solutions of the NLSE in the form of the collision of Akhmediev breathers.

Original language	English
Pages (from-to)	2137-2145
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	25
DOIs	https://doi.org/10.1016/j.physleta.2009.04.023
Publication status	Published - 1 Jun 2009

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10.1016/j.physleta.2009.04.023

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title = "Extreme waves that appear from nowhere: On the nature of rogue waves",

abstract = "We have numerically calculated chaotic waves of the focusing nonlinear Schr{\"r}odinger equation (NLSE), starting with a plane wave modulated by relatively weak random waves. We show that the peaks with highest amplitude of the resulting wave composition (rogue waves) can be described in terms of exact solutions of the NLSE in the form of the collision of Akhmediev breathers.",

author = "N. Akhmediev and Soto-Crespo, \{J. M.\} and A. Ankiewicz",

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AU - Soto-Crespo, J. M.

AU - Ankiewicz, A.

PY - 2009/6/1

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N2 - We have numerically calculated chaotic waves of the focusing nonlinear Schrr̈odinger equation (NLSE), starting with a plane wave modulated by relatively weak random waves. We show that the peaks with highest amplitude of the resulting wave composition (rogue waves) can be described in terms of exact solutions of the NLSE in the form of the collision of Akhmediev breathers.

AB - We have numerically calculated chaotic waves of the focusing nonlinear Schrr̈odinger equation (NLSE), starting with a plane wave modulated by relatively weak random waves. We show that the peaks with highest amplitude of the resulting wave composition (rogue waves) can be described in terms of exact solutions of the NLSE in the form of the collision of Akhmediev breathers.

UR - https://www.scopus.com/pages/publications/67349165528

U2 - 10.1016/j.physleta.2009.04.023

DO - 10.1016/j.physleta.2009.04.023

M3 - Article

SN - 0375-9601

VL - 373

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 25

ER -

Extreme waves that appear from nowhere: On the nature of rogue waves

Abstract

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