Collapse arresting in an inhomogeneous quintic nonlinear Schrodinger model

Yuri Borisovich Gaididei; Jens Schjødt-Eriksen; Peter Leth Christiansen

doi:10.1103/PhysRevE.60.4877

Collapse arresting in an inhomogeneous quintic nonlinear Schrodinger model

Yuri Borisovich Gaididei, Jens Schjødt-Eriksen, Peter Leth Christiansen

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Abstract

Collapse of (1 + 1)-dimensional beams in the inhomogeneous one-dimensional quintic nonlinear Schrodinger equation is analyzed both numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams in which the homogeneous medium would blow up may be delayed and even arrested. [S1063-651X(99)03610-7].

Original language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	60
Issue number	4
Pages (from-to)	4877-4890
ISSN	1063-651X
DOIs	https://doi.org/10.1103/PhysRevE.60.4877
Publication status	Published - 1999

Bibliographical note

Copyright (1999) by the American Physical Society.

Keywords

SURFACE-WAVES
EXCITATIONS
BEAM PROPAGATION
STABILITY
FOCUSING SINGULARITY
DYNAMICS
BLOW-UP
OPTICAL BEAMS
SCHROEDINGER EQUATIONS
PLASMAS

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title = "Collapse arresting in an inhomogeneous quintic nonlinear Schrodinger model",

abstract = "Collapse of (1 + 1)-dimensional beams in the inhomogeneous one-dimensional quintic nonlinear Schrodinger equation is analyzed both numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams in which the homogeneous medium would blow up may be delayed and even arrested. [S1063-651X(99)03610-7].",

keywords = "SURFACE-WAVES, EXCITATIONS, BEAM PROPAGATION, STABILITY, FOCUSING SINGULARITY, DYNAMICS, BLOW-UP, OPTICAL BEAMS, SCHROEDINGER EQUATIONS, PLASMAS",

author = "Gaididei, {Yuri Borisovich} and Jens Schj{\o}dt-Eriksen and Christiansen, {Peter Leth}",

note = "Copyright (1999) by the American Physical Society.",

year = "1999",

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language = "English",

volume = "60",

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journal = "Physical Review E. Statistical, Nonlinear, and Soft Matter Physics",

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T1 - Collapse arresting in an inhomogeneous quintic nonlinear Schrodinger model

AU - Gaididei, Yuri Borisovich

AU - Schjødt-Eriksen, Jens

AU - Christiansen, Peter Leth

N1 - Copyright (1999) by the American Physical Society.

PY - 1999

Y1 - 1999

N2 - Collapse of (1 + 1)-dimensional beams in the inhomogeneous one-dimensional quintic nonlinear Schrodinger equation is analyzed both numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams in which the homogeneous medium would blow up may be delayed and even arrested. [S1063-651X(99)03610-7].

AB - Collapse of (1 + 1)-dimensional beams in the inhomogeneous one-dimensional quintic nonlinear Schrodinger equation is analyzed both numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams in which the homogeneous medium would blow up may be delayed and even arrested. [S1063-651X(99)03610-7].

KW - SURFACE-WAVES

KW - EXCITATIONS

KW - BEAM PROPAGATION

KW - STABILITY

KW - FOCUSING SINGULARITY

KW - DYNAMICS

KW - BLOW-UP

KW - OPTICAL BEAMS

KW - SCHROEDINGER EQUATIONS

KW - PLASMAS

U2 - 10.1103/PhysRevE.60.4877

DO - 10.1103/PhysRevE.60.4877

M3 - Journal article

SN - 1063-651X

VL - 60

SP - 4877

EP - 4890

JO - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

IS - 4

ER -

Collapse arresting in an inhomogeneous quintic nonlinear Schrodinger model

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Bibliographical note

Keywords

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