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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 045, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.045 (Mi sigma910) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Bäcklund–Darboux Transformations and Discretizations of Super KdV Equation

Ling-Ling Xue, Qing Ping Liu

Department of Mathematics, China University of Mining and Technology, Beijing 100083, P. R. China
Full-text PDF (271 kB) Citations (16)
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DOI: https://doi.org/10.3842/SIGMA.2014.045
Abstract: For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations. The reduction of one of the Bäcklund–Darboux transformations and the corresponding discrete system are considered for Kupershmidt's super KdV equation. When all the odd variables vanish, a nonlinear superposition formula is obtained for Levi's Bäcklund transformation for the KdV equation.
Keywords: super integrable systems; KdV; Bäcklund–Darboux transformations; discrete integrable systems.
Received: January 2, 2014; in final form April 10, 2014; Published online April 17, 2014
Bibliographic databases:
Document Type: Article
MSC: 35Q53; 37K10; 35A30
Language: English
Citation: Ling-Ling Xue, Qing Ping Liu, “Bäcklund–Darboux Transformations and Discretizations of Super KdV Equation”, SIGMA, 10 (2014), 045, 10 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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