On some properties of semi-Hamiltonian systems arising in the problem of integrable geodesic flows on the two-dimensional torus
DOI10.1134/s0037446623050014zbMath1528.37048OpenAlexW4387063326MaRDI QIDQ6046793
Zh. Sh. Fakhriddinov, Sergey Agapov
Publication date: 6 October 2023
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446623050014
Euler-Poisson-Darboux equationRiemann invariantspolynomial first integralweakly nonlinear systemintegrable geodesic flowsemi-Hamiltonian systemgeneralized godograph method
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Euler-Poisson-Darboux equations (35Q05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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