Abstract
In this paper, for the first time, explicit solutions of a semi-Hamiltonian system of quasi- linear differential equations by the generalized hodograph method are found. These solutions define (local) metrics on a surface for which the geodesic flow has a polynomial in momenta integrals of the fourth degree.
Translated title of the contribution | О точных решениях системы квазилинейных уравнений, описывающей интегрируемые геодезические потоки на поверхности |
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Original language | English |
Pages (from-to) | 949-954 |
Number of pages | 6 |
Journal | Сибирские электронные математические известия |
Volume | 16 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
OECD FOS+WOS
- 1.01 MATHEMATICS
State classification of scientific and technological information
- 38 GEOLOGY