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 |
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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://srodev.sussex.ac.uk/id/eprint/69633 |
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