# On the integrability of a third-order Monge-Ampère type equation

(1996) On the integrability of a third-order Monge-Ampère type equation. Physics Letters A, 210(4-5), pp. 267-272.

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## 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 Published Yes Strachan, Professor Ian Strachan, I.A.B. College of Science and Engineering > School of Mathematics and Statistics > Mathematics Physics Letters A Elsevier 0375-9601 1873-2429 14 March 2001

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