Abelian integrals and the reduction method for an integrable Hamiltonian system

DOI10.1063/1.526926zbMath0597.70020OpenAlexW2084178820MaRDI QIDQ3731073

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Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526926

zbMATH Keywords

algebraic geometrygeneralized theta functionsAbelian integralsn-dimensional spherecomplete set of integrals of motionSeparation of variablesclassical finite-dimensional integrable Hamiltonian systemgeometry of quadricsprojection of geodesic flowreduction of Hamilton's equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton-Jacobi equations in mechanics (70H20)

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