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) |
|---|---|
| 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 |