Collapse arresting  in an inhomogeneous two-dimensional nonlinear Schrodinger model

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

doi:10.1103/PhysRevE.64.066614

Collapse arresting in an inhomogeneous two-dimensional nonlinear Schrodinger model

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

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

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Abstract

Collapse of (2 + 1)-dimensional beams in the inhomogeneous two-dimensional cubic nonlinear Schrodinger equation is analyzed numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams that in a homogeneous medium would collapse may be arrested under certain circumstances.

Original language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	6
Pages (from-to)	066614
ISSN	1063-651X
DOIs	https://doi.org/10.1103/PhysRevE.64.066614
Publication status	Published - 2001

Bibliographical note

Copyright (2001) American Physical Society

Keywords

ATOMS
SINGULARITY
BLOW-UP
SCHROEDINGER EQUATIONS

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10.1103/PhysRevE.64.066614

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http://link.aps.org/doi/10.1103/PhysRevE.64.066614

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Cite this

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title = "Collapse arresting in an inhomogeneous two-dimensional nonlinear Schrodinger model",

abstract = "Collapse of (2 + 1)-dimensional beams in the inhomogeneous two-dimensional cubic nonlinear Schrodinger equation is analyzed numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams that in a homogeneous medium would collapse may be arrested under certain circumstances.",

keywords = "ATOMS, SINGULARITY, BLOW-UP, SCHROEDINGER EQUATIONS",

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

note = "Copyright (2001) American Physical Society",

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AU - Schjødt-Eriksen, Jens

AU - Gaididei, Yuri Borisovich

AU - Christiansen, Peter Leth

PY - 2001

Y1 - 2001

N2 - Collapse of (2 + 1)-dimensional beams in the inhomogeneous two-dimensional cubic nonlinear Schrodinger equation is analyzed numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams that in a homogeneous medium would collapse may be arrested under certain circumstances.

AB - Collapse of (2 + 1)-dimensional beams in the inhomogeneous two-dimensional cubic nonlinear Schrodinger equation is analyzed numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams that in a homogeneous medium would collapse may be arrested under certain circumstances.

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KW - SINGULARITY

KW - BLOW-UP

KW - SCHROEDINGER EQUATIONS

U2 - 10.1103/PhysRevE.64.066614

DO - 10.1103/PhysRevE.64.066614

M3 - Journal article

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SP - 066614

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

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

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