dorsal/arxiv
View SchemaLocalized States in Discrete Nonlinear Schr\"{o}dinger Equations
| Authors | David Cai, A. R. Bishop, Niels Grønbech-Jensen |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9305003 |
| URL | https://arxiv.org/abs/patt-sol/9305003 |
| DOI | 10.1103/PhysRevLett.72.591 |
Abstract
A new 1-D discrete nonlinear Schr\"{o}dinger (NLS) Hamiltonian is introduced which includes the integrable Ablowitz-Ladik system as a limit. The symmetry properties of the system are studied. The relationship between intrinsic localized states and the soliton of the Ablowitz-Ladik NLS is discussed. It is pointed out that a staggered localized state can be viewed as a particle of a {\em negative} effective mass. It is shown that staggered localized states can exist in the discrete dark NLS. The motion of localized states and Peierls-Nabarro pinning are studied.
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"abstract": "A new 1-D discrete nonlinear Schr\\\"{o}dinger (NLS) Hamiltonian is introduced\nwhich includes the integrable Ablowitz-Ladik system as a limit. The symmetry\nproperties of the system are studied. The relationship between intrinsic\nlocalized states and the soliton of the Ablowitz-Ladik NLS is discussed. It is\npointed out that a staggered localized state can be viewed as a particle of a\n{\\em negative} effective mass. It is shown that staggered localized states can\nexist in the discrete dark NLS. The motion of localized states and\nPeierls-Nabarro pinning are studied.",
"arxiv_id": "patt-sol/9305003",
"authors": [
"David Cai",
"A. R. Bishop",
"Niels Gr\u00f8nbech-Jensen"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.72.591",
"title": "Localized States in Discrete Nonlinear Schr\\\"{o}dinger Equations",
"url": "https://arxiv.org/abs/patt-sol/9305003"
},
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