An integrable system associated with higher-order constraint. (Chinese. English summary) Zbl 0841.58035
Summary: In the framework of zero-curvature representation theory, an unified method for constructing finite-dimensional integrable Hamiltonian systems (FDIHS) from \((1 + 1)\)-dimensional integrable systems via the higher-order constraints is proposed, the generating function for the integrals of motion and integrability for these FDIHSs are shown. Furthermore each equation in the hierarchy of \((1 + 1)\)-dimensional integrable systems is factorized into two commuting FDIHSs.
MSC:
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
