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Integrable systems as nonlinear realizations of infinite-dimensional symmetries: The Liouville equation example

✍ Scribed by E. A. Ivanov; S. O. Krivonos

Publisher: Springer
Year: 1984
Tongue: English
Weight: 247 KB
Volume: 8
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00420039

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✦ Synopsis

The Liouville equation is shown to have a natural interpretation in terms of the nonlinear realization of an infinite parameter conformal group in 1 + 1-dimensions. The relevant zero-curvature representation and B~cklund transformations get a simple treatment in this approach. The proposed construction can hopefully be generalized to other integrable systems.

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