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arXiv · 1803.09228

The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions

Sandra Carillo·Federico Zullo
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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. Schwartzian 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.

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Sandra Carillo, Federico Zullo. 2018-04-06. The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions. https://doi.org/10.1007/s11587-018-0422-8

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