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Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

Fabio Baronio, Matteo Conforti, Antonio Degasperis, Sara Lombardo, Miguel Onorato, and Stefan Wabnitz
Phys. Rev. Lett. 113, 034101 – Published 16 July 2014
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Abstract

We report and discuss analytical solutions of the vector nonlinear Schrödinger equation that describe rogue waves in the defocusing regime. This family of solutions includes bright-dark and dark-dark rogue waves. The link between modulational instability (MI) and rogue waves is displayed by showing that only a peculiar kind of MI, namely baseband MI, can sustain rogue-wave formation. The existence of vector rogue waves in the defocusing regime is expected to be a crucial progress in explaining extreme waves in a variety of physical scenarios described by multicomponent systems, from oceanography to optics and plasma physics.

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  • Received 15 March 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.034101

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

© 2014 American Physical Society

Authors & Affiliations

Fabio Baronio1,*, Matteo Conforti2, Antonio Degasperis3, Sara Lombardo4, Miguel Onorato5,6, and Stefan Wabnitz1

  • 1Dipartimento di Ingegneria dell’Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy
  • 2PhLAM/IRCICA UMR 8523/USR 3380, CNRS-Université Lille 1, F-59655 Villeneuve d’Ascq, France
  • 3INFN, Dipartimento di Fisica, “Sapienza” Università di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy
  • 4Department of Mathematics and Information Sciences, Northumbria University, Newcastle upon Tyne NE2 1XE, United Kingdom
  • 5Dipartimento di Fisica, Università di Torino, Via Pietro Giuria, 10125 Torino, Italy
  • 6INFN, Sezione di Torino, Via Pietro Giuria 1, 10125 Torino, Italy

  • *Corresponding author. fabio.baronio@unibs.it

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Vol. 113, Iss. 3 — 18 July 2014

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