Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation

Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation

The Gross-Pitaevskii equation with a local cubic nonlinearity that describes a many-dimensional system in an external field is considered in the framework of the complex WKB-Maslov method. Analytic asymptotic solutions are constructed in semiclassical approximation in a small parameter h, h o 0, in...

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Bibliographic Details
Main Authors: Alexey Borisov, Alexander Shapovalov, Andrey Trifonov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2005-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
WKB-Maslov complex germ method
semiclassical asymptotics
Gross-Pitaevskii equation
solitons
symmetry operators
Online Access:http://www.emis.de/journals/SIGMA/2005/Paper019/

Internet

http://www.emis.de/journals/SIGMA/2005/Paper019/

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