Auto-modulation versus breathers in the nonlinear stage of modulational instability

Abstract

The nonlinear stage of modulational instability in optical fibers induced by a wide and easily accessible class of localized perturbations is studied using the nonlinear Schrodinger equation. It is showed that the development of associated spatio-temporal patterns is strongly affected by the shape and the parameters of the perturbation. Different scenarios are presented that involve an auto-modulation developing in a characteristic wedge, possibly coexisting with breathers which lie inside or outside the wedge.

References in corpus (6)

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• Universal nature of the nonlinear stage of modulational instability
• Quantitative Relation between Modulational Instability and Several Well-known Nonlinear Excitations
• Formation of rogue waves from the locally perturbed condensate
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Cited by in corpus (7)

• Bound state soliton gas dynamics underlying the noise-induced modulational instability
• Doubly periodic solutions of the focusing nonlinear Schrödinger equation: recurrence, period doubling and amplification outside the conventional modulation instability band
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• From modulational instability to focusing dam breaks in water waves
• Direct scattering transform: catch soliton if you can
• Polaritonic frequency-comb generation and breather propagation in a negative-index metamaterial with a cold four-level atomic medium
• Controllable generations of several nonlinear waves in optical fibers with third-order dispersion