Wave instabilities in nonlinear Schrödinger systems with non vanishing background

Type
Conference Paper

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

KAUST Department
Applied Mathematics and Computational Science Program
Electrical Engineering Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Date
2014

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.

Citation
Trillo, S., Totero, J. S., & Fratalocchi, A. (2014). Wave instabilities in nonlinear Schrödinger systems with non vanishing background. Advanced Photonics. doi:10.1364/np.2014.nm4a.6

Publisher
The Optical Society

Journal
Advanced Photonics

Conference/Event Name
Nonlinear Photonics 2014

DOI
10.1364/np.2014.nm4a.6

Permanent link to this record
http://hdl.handle.net/10754/564849
Collections
Conference Papers
Applied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Electrical and Computer Engineering Program