Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential

The complex WKB-Maslov method is used to consider an approach to the semiclassical integrability of the multidimensional Gross-Pitaevskii equation with an external field and nonlocal nonlinearity previously developed by the authors. Although the WKB-Maslov method is approximate in essence, it leads...

Full description

Bibliographic Details
Main Authors: Alexander Shapovalov, Andrey Trifonov, Alexander Lisok
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2005-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
WKB-Maslov complex germ method
semiclassical asymptotics
Gross-Pitaevskii equation
the Cauchy problem
nonlinear evolution operator
trajectory concentrated functions
symmetry operators
Online Access:http://www.emis.de/journals/SIGMA/2005/Paper007/

Internet

http://www.emis.de/journals/SIGMA/2005/Paper007/

Similar Items