Strachan, I.A.B. (1996) On the integrability of a third-order Monge-Ampère type equation. Physics Letters A, 210(4-5), pp. 267-272. (doi: 10.1016/0375-9601(95)00944-2)
Full text not currently available from Enlighten.
Abstract
A third-order equation, similar to a Monge-Ampère equation, is studied, this being achieved by first converting the equation to a 3 × 3-hydrodynamics system. A Lax pair for this hydrodynamic system is constructed and the integrability of this system established. In the degenerate case the equations reduce to a simpler integrable hydrodynamic equation and this case is also studied. The interpretation of this equation as a higher-order Monge-Ampère equation leads to various generalizations which are discussed briefly.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Strachan, Professor Ian |
| Authors: | Strachan, I.A.B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Physics Letters A |
| Publisher: | Elsevier |
| ISSN: | 0375-9601 |
| ISSN (Online): | 1873-2429 |
| Published Online: | 14 March 2001 |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details