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Symmetries and first integrals in the mechanics of infinite-dimensional systems

โœ Scribed by V. M. Savchin; S. A. Budochkina

Book ID
111454812
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
136 KB
Volume
79
Category
Article
ISSN
1064-5624

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Integrable systems as nonlinear realizat
Integrable systems as nonlinear realizations of infinite-dimensional symmetries: The Liouville equation example
โœ E. A. Ivanov; S. O. Krivonos ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Springer ๐ŸŒ English โš– 247 KB

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 construct