Abstract
Turiel's complete list of canonical forms for finite-dimensional, nondegenerate, compatible pairs of Hamiltonian structures is used to determine the precise local integrability of bi-Hamiltonian systems of ordinary differential equation. Also, classification of incompatible Hamiltonian pairs in four dimensions and the relationship between compatibility and integrability are discussed.
Original language | English (US) |
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Pages (from-to) | 177-187 |
Number of pages | 11 |
Journal | Physics Letters A |
Volume | 148 |
Issue number | 3-4 |
DOIs | |
State | Published - Aug 13 1990 |