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

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 Baecklund transformations get a simple treatment in this approach. The proposed construc...

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Bibliographic Details
Published in:Letters in mathematical physics 1984, Vol.8 (1), p.39-45
Main Authors: IVANOV, E. A, KRIVONOS, S. O
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical simulation
Sciences and techniques of general use
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Summary: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 Baecklund transformations get a simple treatment in this approach. The proposed construction can hopefully be generalized to other integrable systems.
ISSN:0377-9017
1573-0530
DOI:10.1007/BF00420039