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- Title
Symmetries of nonlinear hyperbolic systems of the Toda chain type.
- Authors
Sokolov, V. V.; Startsev, S. Ya.
- 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.
- Subjects
EXPONENTIAL functions; INTEGRALS; SYMMETRY; ARBITRARY constants; MATHEMATICAL constants
- Publication
Theoretical & Mathematical Physics, 2008, Vol 155, Issue 2, p802
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-008-0069-9