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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2005
• Hauptverfasser: Shapovalov, A., Trifonov, A., Lisok, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2005
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209353
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential / A. Shapovalov, A. Trifonov, A. Lisok // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 23 назв. — англ.

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...