caa a22 4500 467911347 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s11232-006-0130-5 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0130-5 Tsyganov A. St. Petersburg State University, St. Petersburg, Russia aut Bi-Hamiltonian systems of natural form [Elektronische Daten] [A. Tsyganov] We propose a new method for constructing integrable systems of natural form. In this method, integrals of motion are solutions of an overdetermined system of algebraic and partial differential equations obtained from the compatibility condition for Poisson tensors polynomial in the momenta and from the condition that the bi-Lagrangian distribution corresponding to the integrals of motion is invariant under the action of the recursion operator. Springer Science+Business Media, Inc., 2006 integrable system nationallicence bi-Hamiltonian manifold nationallicence separation of variables nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1437-1456 0040-5779 149:2<1437 2006 149 11232 https://doi.org/10.1007/s11232-006-0130-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0130-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tsyganov A. St. Petersburg State University, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1437-1456 0040-5779 149:2<1437 2006 149 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer