r-Functions with quasi-dynamical spectral parameter |
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Authors: | Jens Hoppe |
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Affiliation: | (1) Institut für Theoretische Physik, Universität Karlsruhe, PO Box 6980, 7500 Karlsruhe, Germany |
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Abstract: | For certain 1 + 1-dimensional classical field theories, whose equations of motion can naturally be written in Lax form by introducing a quasi-dynamical spectral parameter (using sdiff2, the Lie algebra of symplectic diffeomorphisms of a two-dimensional manifold), the previously derived Poisson-commutativity of an infinite set of conserved charges also follows from the existence of an -function, whose functional form is given, and checked explicitly (as well as its Yang-Baxter equation) for an interaction that is exponential (respectively, inverse square) in the spatial derivative of the field. |
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Keywords: | 58C35 81T40 |
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