Wave instabilities in the presence of non vanishing background in nonlinear Schrodinger systems

Trillo, S, Totero Gongora, J S and Fratalocchi, A (2014) Wave instabilities in the presence of non vanishing background in nonlinear Schrodinger systems. Scientific Reports, 4. p. 7285. ISSN 2045-2322

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Abstract

We investigate wave collapse ruled by the generalized nonlinear Schroedinger (NLS) equation in 1+1 dimensions, for localized excitations with non-zero background, establishing through virial identities a new criterion for blow-up. When collapse is arrested, a semiclassical approach allows us to show that the system can favor the formation of dispersive shock waves. The general findings are illustrated with a model of interest to both classical and quantum physics (cubic-quintic NLS equation), demonstrating a radically novel scenario of instability, where solitons identify a marginal condition between blow-up and occurrence of shock waves, triggered by arbitrarily small mass perturbations of different sign.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Research Centres and Groups: Atomic, Molecular and Optical Physics Research Group
Subjects: Q Science > QC Physics > QC0350 Optics. Light
Q Science > QC Physics > QC0350 Optics. Light > QC0395 Physical optics
Q Science > QC Physics > QC0350 Optics. Light > QC0395 Physical optics > QC0446.2 Nonlinear optics. Quantum optics
Depositing User: Juan Sebastian Totero Gongora
Date Deposited: 05 Jul 2018 12:26
Last Modified: 05 Jul 2018 12:26
URI: http://sro.sussex.ac.uk/id/eprint/69633

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