Geodesic
Symmetries of nonlinear hyperbolic systems of the Toda chain type
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 2, pp. 344-355

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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.
Mots-clés : Liouville equation
Keywords: Toda chain, integral, higher symmetry, hyperbolic system of partial differential equations, Noether theorem. 
V. V. Sokolov; S. Ya. Startsev. Symmetries of nonlinear hyperbolic systems of the Toda chain type. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 2, pp. 344-355. http://geodesic.mathdoc.fr/item/TMF_2008_155_2_a12/
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