%0 Journal Article
%J Math. Phys. Anal. Geom. 6 (2003) 139-179
%D 2003
%T Separation of variables for Bi-Hamiltonian systems
%A Gregorio Falqui
%A Marco Pedroni
%X We address the problem of the separation of variables for the Hamilton-Jacobi equation within the theoretical scheme of bi-Hamiltonian geometry. We use the properties of a special class of bi-Hamiltonian manifolds, called omega-N manifolds, to give intrisic tests of separability (and Staeckel separability) for Hamiltonian systems. The separation variables are naturally associated with the geometrical structures of the omega-N manifold itself. We apply these results to bi-Hamiltonian systems of the Gel\\\'fand-Zakharevich type and we give explicit procedures to find the separated coordinates and the separation relations.
%B Math. Phys. Anal. Geom. 6 (2003) 139-179
%I SISSA Library
%G en
%U http://hdl.handle.net/1963/1598
%1 2520
%2 Mathematics
%3 Mathematical Physics
%$ Made available in DSpace on 2004-09-01T13:05:06Z (GMT). No. of bitstreams: 1\\nnlin.SI0204029.pdf: 376655 bytes, checksum: 1bea838d34e847ea2d6e7ec8731cdb22 (MD5)\\n Previous issue date: 2002
%R 10.1023/A:1024080315471