Journal of Siberian Federal University. Mathematics & Physics / Characteristic Algebras of Nonlinear Hyperbolic Systems of Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (2)
Authors
Zhiber, Anatoly V.; Kostrigina, Olga S.
Contact information
Zhiber, Anatoly V. : ; , e-mail: ; Kostrigina, Olga S. : ;
Keywords
characteristic algebra; integral; vector field; Riemann tensor
Abstract

We describe all n-component systems of nonlinear hyperbolic equations with a complete set of integrals of the first order and two-component systems of equations with three integrals of the first order and one integral of the second order. Necessary conditions for the existence of two integrals of the first order and two integral of second order for two-component systems of equations are obtained.

Pages
173-184
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1645