dorsal/arxiv
View SchemaDiscreteness-Induced Oscillatory Instabilities of Dark Solitons
| Authors | Magnus Johansson, Yuri S. Kivshar |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9811002 |
| URL | https://arxiv.org/abs/patt-sol/9811002 |
| DOI | 10.1103/PhysRevLett.82.85 |
| Journal | Phys. Rev. Lett. 82, 85 (1999). |
Abstract
We reveal that even weak inherent discreteness of a nonlinear model can lead to instabilities of the localized modes it supports. We present the first example of an oscillatory instability of dark solitons, and analyse how it may occur for dark solitons of the discrete nonlinear Schrodinger and generalized Ablowitz-Ladik equations.
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"abstract": "We reveal that even weak inherent discreteness of a nonlinear model can lead\nto instabilities of the localized modes it supports. We present the first\nexample of an oscillatory instability of dark solitons, and analyse how it may\noccur for dark solitons of the discrete nonlinear Schrodinger and generalized\nAblowitz-Ladik equations.",
"arxiv_id": "patt-sol/9811002",
"authors": [
"Magnus Johansson",
"Yuri S. Kivshar"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.82.85",
"journal_ref": "Phys. Rev. Lett. 82, 85 (1999).",
"title": "Discreteness-Induced Oscillatory Instabilities of Dark Solitons",
"url": "https://arxiv.org/abs/patt-sol/9811002"
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