Decomposition of higher order equations of Monge-Ampere type
| dc.creator | Ferapontov, E. V. | |
| dc.date | 2002-05-26 | |
| dc.date.accessioned | 2026-07-07T05:34:08Z | |
| dc.date.available | 2026-07-07T05:34:08Z | |
| dc.description | Given a function f(x, t), its fourth (symmetric) differential is a quartic form in dx, dt. It is well-known that any quartic form in two variables can be represented as a sum of three 4th powers of linear forms. The particular case of two 4th powers is characterized by the vanishing of a catalecticant determinant, which is a fourth order PDE for the function f. We demonstrate that this PDE decouples in a direct sum of two Monge-Ampere equations. A higher order generalization of this decomposition is also proposed. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0205056 | |
| dc.identifier | http://arxiv.org/abs/nlin/0205056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80251 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Decomposition of higher order equations of Monge-Ampere type | |
| dc.type | text |