Transverse evolution operator for the Gross-Pitaevskii equation in semiclassical approximation

DOI10.3842/SIGMA.2005.019zbMath1092.81025arXivmath-ph/0511081MaRDI QIDQ2495134

Alexey Borisov, A. Yu. Trifonov, Alexander Shapovalov

Publication date: 4 July 2006

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0511081

zbMATH Keywords

semiclassical asymptoticssolitonsGross-Pitaevskii equationsymmetry operatorsWKB-Maslov complex germ method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)