Symmetries of nonlinear hyperbolic systems of the Toda chain type |
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Authors: | V V Sokolov S Ya Startsev |
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Institution: | (1) Landau Institute for Theoretical Physics, Chernogolovka, Moscow Oblast, Russia;(2) Institute of Mathematics and Computing Center, RAS, Ufa, Russia |
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Abstract: | We consider hyperbolic systems of equations that have full sets of integrals along both characteristics. The best known example
of models of this type is given by two-dimensional open Toda chains. For systems that have integrals, we construct a differential
operator that takes integrals into symmetries. For systems of the chosen type, this proves the existence of higher symmetries
dependent on arbitrary functions.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 2, pp. 344–355, May, 2008. |
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Keywords: | Liouville equation Toda chain integral higher symmetry hyperbolic system of partial differential equations Noether theorem |
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