Effect of nonlocal dispersion on self-interacting excitations.

Peter Leth Christiansen; Kim Rasmussen; Yu.B. Gaididei; S.F. Mingaleev

doi:10.1016/0375-9601(96)00591-9

Effect of nonlocal dispersion on self-interacting excitations.

Peter Leth Christiansen, Kim Rasmussen, Yu.B. Gaididei, S.F. Mingaleev

Bogolyubov Institute for Theoretical Physics

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

The dynamics of self-interacting quasiparticles in 1Dsystems with long-range dispersive interactions isexpressed in terms of a nonlocal nonlinear Schrödingerequation. Two branches of stationary solutions are found.The new branch which contains a cusp soliton is shown to beunstable and blowup is observed. Moving solitons radiatewith a wavelength proportional to the velocity.

Original language	English
Journal	Physics Letters A
Volume	222
Issue number	3
Pages (from-to)	152-156
ISSN	0375-9601
DOIs	https://doi.org/10.1016/0375-9601(96)00591-9
Publication status	Published - 1996

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@article{23dbf70c98be4939857ba2cae34ea3e2,

title = "Effect of nonlocal dispersion on self-interacting excitations.",

abstract = "The dynamics of self-interacting quasiparticles in 1Dsystems with long-range dispersive interactions isexpressed in terms of a nonlocal nonlinear Schr{\"o}dingerequation. Two branches of stationary solutions are found.The new branch which contains a cusp soliton is shown to beunstable and blowup is observed. Moving solitons radiatewith a wavelength proportional to the velocity.",

author = "Christiansen, {Peter Leth} and Kim Rasmussen and Yu.B. Gaididei and S.F. Mingaleev",

year = "1996",

doi = "10.1016/0375-9601(96)00591-9",

language = "English",

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journal = "Physics Letters A",

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T1 - Effect of nonlocal dispersion on self-interacting excitations.

AU - Christiansen, Peter Leth

AU - Rasmussen, Kim

AU - Gaididei, Yu.B.

AU - Mingaleev, S.F.

PY - 1996

Y1 - 1996

N2 - The dynamics of self-interacting quasiparticles in 1Dsystems with long-range dispersive interactions isexpressed in terms of a nonlocal nonlinear Schrödingerequation. Two branches of stationary solutions are found.The new branch which contains a cusp soliton is shown to beunstable and blowup is observed. Moving solitons radiatewith a wavelength proportional to the velocity.

AB - The dynamics of self-interacting quasiparticles in 1Dsystems with long-range dispersive interactions isexpressed in terms of a nonlocal nonlinear Schrödingerequation. Two branches of stationary solutions are found.The new branch which contains a cusp soliton is shown to beunstable and blowup is observed. Moving solitons radiatewith a wavelength proportional to the velocity.

U2 - 10.1016/0375-9601(96)00591-9

DO - 10.1016/0375-9601(96)00591-9

M3 - Journal article

SN - 0375-9601

VL - 222

SP - 152

EP - 156

JO - Physics Letters A

JF - Physics Letters A

IS - 3

ER -

Effect of nonlocal dispersion on self-interacting excitations.

Abstract

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