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The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions.
- Source :
- Ricerche di Matematica; Dec2019, Vol. 68 Issue 2, p503-512, 10p
- Publication Year :
- 2019
-
Abstract
- Bäcklund transformations are applied to study the Gross–Pitaevskii equation. Supported by previous results, a class of Bäcklund transformations admitted by this equation are constructed. Schwarzian derivative as well as its invariance properties turn out to represent a key tool in the present investigation. Examples and explicit solutions of the Gross–Pitaevskii equation are obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00355038
- Volume :
- 68
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Ricerche di Matematica
- Publication Type :
- Academic Journal
- Accession number :
- 139568066
- Full Text :
- https://doi.org/10.1007/s11587-018-0422-8