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.
The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions / Carillo, Sandra; Zullo, Federico. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - 68:2(2019), pp. 503-512. [10.1007/s11587-018-0422-8]
The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions
Carillo, Sandra
Primo
;
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.File allegati a questo prodotto
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