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.
Titolo: | The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions |
Autori: | |
Data di pubblicazione: | 2018 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11379/509866 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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