Wave instabilities in the presence of non vanishing background in nonlinear Schrödinger systems View Full Text


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Article Info

DATE

2014-12-03

AUTHORS

S. Trillo, J. S. Totero Gongora, A. Fratalocchi

ABSTRACT

We investigate wave collapse ruled by the generalized nonlinear Schrödinger (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. More... »

PAGES

7285

Identifiers

URI

http://scigraph.springernature.com/pub.10.1038/srep07285

DOI

http://dx.doi.org/10.1038/srep07285

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1032461313

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/25468032


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