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Asymptotics and solitons for defocusing nonlocal nonlinear Schrdinger equations Dimitri, Frantzeskakis
Description
Asymptotic reductions of a defocusing nonlocal nonlinear Schrdinger model in (2+1)-dimensions, in both Cartesian and cylindrical geometry, are presented. First, at an intermediate stage, a Boussinesq equation is derived, and then far-field, KadomtsevPetviashvilli I and II (KP-I, KP- II) equations for right- and left-going waves are found. This way, small-amplitude, planar or ring-shaped, dark or anti-dark solitons are derived, whose nature and stability is determined by a parameter defined by the physical parameters of the original nonlocal system. It is shown that (dark) anti-dark solitons are supported by a weak (strong) nonlocality, and are unstable (stable) against transverse perturbations. The analytical predictions are corroborated by direct numerical simulations.
Item Metadata
Title |
Asymptotics and solitons for defocusing nonlocal nonlinear Schrdinger equations
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-06-20T15:33
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Description |
Asymptotic reductions of a defocusing nonlocal nonlinear Schrdinger model in (2+1)-dimensions, in both Cartesian and cylindrical geometry, are presented. First, at an intermediate stage, a Boussinesq equation is derived, and then far-field, KadomtsevPetviashvilli I and II (KP-I, KP- II) equations for right- and left-going waves are found. This way, small-amplitude, planar or ring-shaped, dark or anti-dark solitons are derived, whose nature and stability is determined by a parameter defined by the physical parameters of the original nonlocal system. It is shown that (dark) anti-dark solitons are supported by a weak (strong) nonlocality, and are unstable (stable) against transverse perturbations. The analytical predictions are corroborated by direct numerical simulations.
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Extent |
28 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: U. of Athens
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Series | |
Date Available |
2017-02-03
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0340405
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International