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

313 Downloads (Pure)

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

Access to Document

10.1103/PhysRevE.64.066614

JensFinal published version, 232 KB

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

Cite this

@article{babc8187a5094550ac5eaf5b59463a68,

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",

year = "2001",

doi = "10.1103/PhysRevE.64.066614",

language = "English",

volume = "64",

pages = "066614",

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

issn = "2470-0045",

publisher = "American Physical Society",

number = "6",

}

TY - JOUR

T1 - Collapse arresting in an inhomogeneous two-dimensional nonlinear Schrodinger model

AU - Schjødt-Eriksen, Jens

AU - Gaididei, Yuri Borisovich

AU - Christiansen, Peter Leth

N1 - Copyright (2001) American Physical Society

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.

KW - ATOMS

KW - SINGULARITY

KW - BLOW-UP

KW - SCHROEDINGER EQUATIONS

U2 - 10.1103/PhysRevE.64.066614

DO - 10.1103/PhysRevE.64.066614

M3 - Journal article

C2 - 11736303

VL - 64

SP - 066614

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

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

SN - 2470-0045

IS - 6

ER -