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Suppression of modulation instability by spatio-temporal modulation
Staliunas, Kestutis
Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear; Universitat Politècnica de Catalunya. DONLL - Dinàmica no lineal, òptica no lineal i làsers
Modulation Instability (MI) is at the basis of spontaneous pattern formation in many nonlinear spatially extended systems in Nature, technologies, and in everyday live. In spite of variety of spatial patterns in different systems, the very onset of a spatio-temporal dynamics, the breaking of initial spatial and temporal symmetry, is initiated by MI. The said is valid for dissipative nonlinear systems, where dissipative patterns set in, but also for conservative systems. The examples in latter case ranges from the filamentation of light in Kerr-nonlinear media, instabilities of Bose condensates with attractive interactions, to perhaps, the recently much discussed formation of the “rogue waves”.
Peer Reviewed
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Física::Mecànica quàntica
Bose-Einstein condensation -- Mathematical models.
Bose condensates
Kerr-nonlinear media
conservative systems
dissipative nonlinear systems
light filamentation
modulation instability suppression
nonlinear spatially extended systems
rogue waves
spatio-temporal modulation dynamics
spontaneous pattern formation
temporal symmetry
Condensat de Bose-Einstein
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