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

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Abstract

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 Bäcklund transformations get a simple treatment in this approach. The proposed construction can hopefully be generalized to other integrable systems.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141 980, Dubna, USSR

    E. A. Ivanov & S. O. Krivonos

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  1. E. A. Ivanov
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  2. S. O. Krivonos
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Ivanov, E.A., Krivonos, S.O. Integrable systems as nonlinear realizations of infinite-dimensional symmetries: The Liouville equation example. Lett Math Phys 8, 39–45 (1984). https://doi.org/10.1007/BF00420039

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  • DOI: https://doi.org/10.1007/BF00420039

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