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

Shapovalov, 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 -