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

DOI10.3842/SIGMA.2005.007zbMath1092.81027arXivmath-ph/0511010MaRDI QIDQ2495118

A. Yu. Trifonov, Aleksandr L. Lisok, 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/0511010

File on IPFS

zbMATH Keywords

semiclassical asymptoticsGross-Pitaevskii equationsymmetry operatorsthe Cauchy problemnonlinear evolution operatortrajectory concentrated functionsWKB-Maslov complex germ method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Weak interaction in quantum theory (81V15)

This page was built for publication: Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential