On Non-Abelian Coverings Over the Liouville Equation

On Non-Abelian Coverings Over the Liouville Equation

Treating the hyperbolic Liouville equation as the flat connections equation on the semisimple Lie algebra A1, we investigate relationships between zero-curvature representations of the Liouville equation and its Backlund transformations provided by a special one-dimensional coverings. Formal deforma...

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Veröffentlicht in:Acta applicandae mathematicae 2004-08, Vol.83 (1/2), p.25-37
Hauptverfasser: Kiselev, Arthemy V., Golovko, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematical models
Studies
Variables
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Zusammenfassung:Treating the hyperbolic Liouville equation as the flat connections equation on the semisimple Lie algebra A1, we investigate relationships between zero-curvature representations of the Liouville equation and its Backlund transformations provided by a special one-dimensional coverings. Formal deformations of these Backlund transformations and integration in nonlocal variables are studied. [PUBLICATION ABSTRACT]
ISSN:0167-8019
1572-9036
DOI:10.1023/B:ACAP.0000035587.01597.e0