Symmetries of nonlinear hyperbolic systems of the Toda chain type
- 51 Downloads
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.
KeywordsLiouville equation Toda chain integral higher symmetry hyperbolic system of partial differential equations Noether theorem
Unable to display preview. Download preview PDF.
- 6.A. B. Shabat and R. I. Yamilov, “Exponential systems of type I and Cartan matrices,” Preprint, Ufa (1981).Google Scholar
- 9.A. N. Leznov and A. B. Shabat, “Truncation conditions for permutation theory series,” in: Integrable Systems [in Russian], Bashkir Branch, Acad. Sci. USSR, Ufa (1982), pp. 34–45.Google Scholar
- 11.S. Ya. Startsev, Fundam. Prikl. Mat., 12, No. 7, 251–262 (2006).Google Scholar