Preprint article · Journal article
Collapse arrest and soliton stabilization in nonlocal nonlinear media
Department of Informatics and Mathematical Modeling, Technical University of Denmark1
Australian National University2
Agricultural University of Norway3
Plasma Physics and Technology Programme, Risø National Laboratory for Sustainable Energy, Technical University of Denmark4
Risø National Laboratory for Sustainable Energy, Technical University of Denmark5
We investigate the properties of localized waves in cubic nonlinear materials with a symmetric nonlocal nonlinear response of arbitrary shape and degree of nonlocality, described by a general nonlocal nonlinear Schrodinger type equation. We prove rigorously by bounding the Hamiltonian that nonlocality of the nonlinearity prevents collapse in, e.g., Bose-Einstein condensates and optical Kerr media in all physical dimensions.
The nonlocal nonlinear response must be symmetric and have a positive definite Fourier spectrum, but can otherwise be of completely arbitrary shape and degree of nonlocality. We use variational techniques to find the soliton solutions and illustrate the stabilizing effect of nonlocality.
| Language: | English |
|---|---|
| Year: | 2002 |
| Pages: | 046619 |
| ISSN: | 15502376 , 15393755 , 24700053 , 24700045 , 1063651x and 10953787 |
| Types: | Preprint article and Journal article |
| DOI: | 10.1103/PhysRevE.66.046619 |
| ORCIDs: | Bang, Ole and Juul Rasmussen, Jens |
DYNAMICS GASES LIGHT BEAMS LOCALIZATION SCHRODINGER-EQUATION STABILITY SYSTEMS WAVE COLLAPSE
