Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems
| dc.creator | Kamran, Niky | |
| dc.creator | Milson, Robert | |
| dc.creator | Olver, Peter | |
| dc.date | 1999-04-15 | |
| dc.date.accessioned | 2026-07-07T06:17:48Z | |
| dc.date.available | 2026-07-07T06:17:48Z | |
| dc.description | We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant subspace leads to a re duction of the associated dynamical partial differential equations to a system of ordinary differential equations, and provide a nonlinear counterpart to quasi-exactly solvable quantum Hamiltonians. These results rely on a useful extension of the classical Wronskian determinant condition for linear independence of functions. In addition, new approaches to the characterization o f the annihilating differential operators for spaces of analytic functions are presented. | |
| dc.description | 28 pages. To appear in Advances in Mathematics | |
| dc.identifier | https://arxiv.org/abs/solv-int/9904014 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9904014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94512 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems | |
| dc.type | text |