Solutions of the Vector Nonlinear Schrödinger Equations: Evidence for Deterministic Rogue Waves

Fabio Baronio, Antonio Degasperis, Matteo Conforti, and Stefan Wabnitz
Phys. Rev. Lett. 109, 044102 – Published 26 July 2012

Abstract

We construct and discuss a semirational, multiparametric vector solution of coupled nonlinear Schrödinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright- and dark-rogue solutions, and novel vector unusual freak waves. The vector rogue waves could be of great interest in a variety of complex systems, from optics and fluid dynamics to Bose-Einstein condensates and finance.

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  • Received 2 April 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.044102

© 2012 American Physical Society

Authors & Affiliations

Fabio Baronio1, Antonio Degasperis2, Matteo Conforti1, and Stefan Wabnitz1

  • 1CNISM, Dipartimento di Ingegneria dell’Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy
  • 2INFN, “Sapienza” Università di Roma, P.le A. Moro 2, 00185 Rome, Italy

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Vol. 109, Iss. 4 — 27 July 2012

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