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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 045, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.045 (Mi sigma171) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Spectral Curves of Operators with Elliptic Coefficients

J. Chris Eilbeckab, Victor Z. Enolskic, Emma Previatod

a Department of Mathematics, Heriot-Watt University, Edinburgh, UK EH14 4AS
b The Maxwell Institute
c Institute of Magnetism, 36 Vernadski Str., Kyiv-142, Ukraine
d Department of Mathematics and Statistics, Boston University, Boston MA 02215-2411, USA
Full-text PDF (315 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2007.045
Abstract: A computer-algebra aided method is carried out, for determining geometric objects associated to differential operators that satisfy the elliptic ansatz. This results in examples of Lamé curves with double reduction and in the explicit reduction of the theta function of a Halphen curve.
Keywords: (equianharmonic) elliptic integrals; Lamé, Hermite, Halphen equation; theta function.
Received: November 21, 2006; in final form February 16, 2007; Published online March 12, 2007
Bibliographic databases:
Document Type: Article
MSC: 33E05; 34L10; 14H42; 14H45
Language: English
Citation: J. Chris Eilbeck, Victor Z. Enolski, Emma Previato, “Spectral Curves of Operators with Elliptic Coefficients”, SIGMA, 3 (2007), 045, 17 pp.
Citation in format AMSBIB
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\by J.~Chris Eilbeck, Victor Z.~Enolski, Emma Previato
\paper Spectral Curves of Operators with Elliptic Coefficients
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\vol 3
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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    References:36
     
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