Wave instabilities in nonlinear Schrödinger systems with non vanishing background

Stefano Trillo; J. S. Totero Gongora; Andrea Fratalocchi

doi:10.1364/np.2014.nm4a.6

Wave instabilities in nonlinear Schrödinger systems with non vanishing background

Stefano Trillo, J. S. Totero Gongora, Andrea Fratalocchi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We investigate wave collapse in the generalized nonlinear Schrödinger (NLS) equation and in the presence of a non vanishing background. Through the use of virial identities, we establish a new criterion for blow-up.

Original language	English (US)
Title of host publication	Advanced Photonics
Publisher	The Optical Society
ISBN (Print)	9781557528209
DOIs	https://doi.org/10.1364/np.2014.nm4a.6
State	Published - 2014

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10.1364/np.2014.nm4a.6

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@inproceedings{baba0e5179da49bd8cac947242334de8,

title = "Wave instabilities in nonlinear Schr{\"o}dinger systems with non vanishing background",

abstract = "We investigate wave collapse in the generalized nonlinear Schr{\"o}dinger (NLS) equation and in the presence of a non vanishing background. Through the use of virial identities, we establish a new criterion for blow-up.",

author = "Stefano Trillo and Gongora, {J. S. Totero} and Andrea Fratalocchi",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2014",

doi = "10.1364/np.2014.nm4a.6",

language = "English (US)",

isbn = "9781557528209",

booktitle = "Advanced Photonics",

publisher = "The Optical Society",

address = "United States",

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TY - GEN

T1 - Wave instabilities in nonlinear Schrödinger systems with non vanishing background

AU - Trillo, Stefano

AU - Gongora, J. S. Totero

AU - Fratalocchi, Andrea

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2014

Y1 - 2014

N2 - We investigate wave collapse in the generalized nonlinear Schrödinger (NLS) equation and in the presence of a non vanishing background. Through the use of virial identities, we establish a new criterion for blow-up.

AB - We investigate wave collapse in the generalized nonlinear Schrödinger (NLS) equation and in the presence of a non vanishing background. Through the use of virial identities, we establish a new criterion for blow-up.

UR - http://hdl.handle.net/10754/564849

UR - https://www.osapublishing.org/abstract.cfm?URI=NP-2014-NM4A.6

UR - http://www.scopus.com/inward/record.url?scp=85085848211&partnerID=8YFLogxK

U2 - 10.1364/np.2014.nm4a.6

DO - 10.1364/np.2014.nm4a.6

M3 - Conference contribution

SN - 9781557528209

BT - Advanced Photonics

PB - The Optical Society

ER -

Wave instabilities in nonlinear Schrödinger systems with non vanishing background

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