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Vector rogue waves and baseband modulation instability in the defocusing regime.

Fabio Baronio1, Matteo Conforti2, Antonio Degasperis3

  • 1Dipartimento di Ingegneria dell'Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy.

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Summary

We found analytical solutions for vector rogue waves in the defocusing regime, including bright-dark and dark-dark types. Only baseband modulational instability (MI) supports these extreme wave events.

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Area of Science:

  • Nonlinear physics
  • Wave phenomena

Background:

  • Rogue waves are extreme amplitude events observed in various physical systems.
  • The vector nonlinear Schrödinger equation (VNLSE) models multicomponent wave systems.

Purpose of the Study:

  • To find analytical solutions for vector rogue waves in the defocusing regime.
  • To investigate the relationship between modulational instability (MI) and rogue wave formation.

Main Methods:

  • Derivation of analytical solutions for the VNLSE.
  • Analysis of baseband modulational instability (MI).

Main Results:

  • Identified analytical solutions describing bright-dark and dark-dark vector rogue waves.
  • Demonstrated that only baseband MI can sustain rogue wave formation in the defocusing regime.

Conclusions:

  • Analytical solutions for vector rogue waves in the defocusing regime are presented.
  • Baseband MI is identified as the necessary condition for rogue wave generation in these systems.
  • Findings advance the understanding of extreme waves in multicomponent systems like optics and oceanography.