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Coverings and Integrability of the Gauss–Mainardi–Codazzi Equations

Coverings and Integrability of the Gauss–Mainardi–Codazzi Equations Using the covering theory approach (zero-curvature representations with the gauge group SL), we insert the spectral parameter into the Gauss–Mainardi–Codazzi equations in Chebyshev and geodesic coordinates. For each choice, four integrable systems are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Coverings and Integrability of the Gauss–Mainardi–Codazzi Equations

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References (26)

Publisher
Springer Journals
Copyright
Copyright © 1999 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1006121716159
Publisher site
See Article on Publisher Site

Abstract

Using the covering theory approach (zero-curvature representations with the gauge group SL), we insert the spectral parameter into the Gauss–Mainardi–Codazzi equations in Chebyshev and geodesic coordinates. For each choice, four integrable systems are obtained.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 16, 2004

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