The inverse problem for the Gross-Pitaevskii equation
Article
Article Title | The inverse problem for the Gross-Pitaevskii equation |
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ERA Journal ID | 87 |
Article Category | Article |
Authors | Malomed, Boris A. (Author) and Stepanyants, Yury A. (Author) |
Journal Title | Chaos: an interdisciplinary journal of nonlinear science |
Journal Citation | 20 (1) |
Article Number | 13130 |
Number of Pages | 14 |
Year | 2010 |
Publisher | AIP Publishing |
Place of Publication | College Park, MD. United States |
ISSN | 1054-1500 |
1089-7682 | |
Digital Object Identifier (DOI) | https://doi.org/10.1063/1.3367776 |
Web Address (URL) | http://scitation.aip.org/content/aip/journal/chaos/20/1/10.1063/1.3367776 |
Abstract | Two different methods are proposed for the generation of wide classes of exact solutions to the stationary Gross-Pitaevskii equation (GPE). The first method, suggested by the work by Kondrat'ev and Miller (1966), applies to one-dimensional GPE. It is based on the similarity between the GPE and the integrable Gardner equation, all solutions of the latter equation (both stationary and nonstationary ones) generating exact solutions to the GPE. The second method is based on the 'inverse problem' for the GPE, |
Keywords | Bose-Einstein condensation; Gross-Pitaevskii equation; localised stationary solutions; numerical method; nonlinear Schrodinger equation; inverse problem |
ANZSRC Field of Research 2020 | 490299. Mathematical physics not elsewhere classified |
490202. Integrable systems (classical and quantum) | |
510403. Condensed matter modelling and density functional theory | |
Public Notes | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 20, 013130 (2010) |
Byline Affiliations | Tel Aviv University, Israel |
Department of Mathematics and Computing |
https://research.usq.edu.au/item/9zq50/the-inverse-problem-for-the-gross-pitaevskii-equation
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