# Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.

Shapovalov, Alexander; Trifonov, Andrey; Lisok, Alexander

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only] (2005)

- Volume: 1, page Paper 007, 14 p., electronic only-Paper 007, 14 p., electronic only
- ISSN: 1815-0659

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topShapovalov, Alexander, Trifonov, Andrey, and Lisok, Alexander. "Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.." SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only] 1 (2005): Paper 007, 14 p., electronic only-Paper 007, 14 p., electronic only. <http://eudml.org/doc/52535>.

@article{Shapovalov2005,

author = {Shapovalov, Alexander, Trifonov, Andrey, Lisok, Alexander},

journal = {SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]},

keywords = {WKB-Maslov complex germ method; semiclassical asymptotics; Gross-Pitaevskii equation; the Cauchy problem; nonlinear evolution operator; trajectory concentrated functions; symmetry operators},

language = {eng},

pages = {Paper 007, 14 p., electronic only-Paper 007, 14 p., electronic only},

publisher = {Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine},

title = {Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.},

url = {http://eudml.org/doc/52535},

volume = {1},

year = {2005},

}

TY - JOUR

AU - Shapovalov, Alexander

AU - Trifonov, Andrey

AU - Lisok, Alexander

TI - Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.

JO - SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

PY - 2005

PB - Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine

VL - 1

SP - Paper 007, 14 p., electronic only

EP - Paper 007, 14 p., electronic only

LA - eng

KW - WKB-Maslov complex germ method; semiclassical asymptotics; Gross-Pitaevskii equation; the Cauchy problem; nonlinear evolution operator; trajectory concentrated functions; symmetry operators

UR - http://eudml.org/doc/52535

ER -

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