caa a22 4500 467911266 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s11232-006-0129-y doi (NATIONALLICENCE)springer-10.1007/s11232-006-0129-y Pairs of commuting Hamiltonians quadratic in the momenta [Elektronische Daten] [V. Marikhin, V. Sokolov] In the case of two degrees of freedom, we consider pairs of Hamiltonians quadratic in the momenta and commuting with respect to the standard Poisson bracket. We find new multiparameter families of such pairs and present a universal scheme for constructing a complete solution of the Hamilton-Jacobi equation in terms of integrals over an algebraic curve. For the most complicated examples, this curve is a nonhyperelliptic covering of an elliptic curve. Springer Science+Business Media, Inc., 2006 integrable Hamiltonian system nationallicence separation of variables nationallicence algebraic system nationallicence Marikhin V. Landau Institute of Theoretical Physics, RAS, Moscow, Russia aut Sokolov V. Landau Institute of Theoretical Physics, RAS, Moscow, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1425-1436 0040-5779 149:2<1425 2006 149 11232 https://doi.org/10.1007/s11232-006-0129-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0129-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Marikhin V. Landau Institute of Theoretical Physics, RAS, Moscow, Russia aut NATIONALLICENCE 700 1- Sokolov V. Landau Institute of Theoretical Physics, RAS, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1425-1436 0040-5779 149:2<1425 2006 149 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer