On the Integrability of a Class of Monge-Ampere Equations

Brunelli, J. C.; Gurses, M.; Zheltukhin, K.

On the Integrability of a Class of Monge-Ampere Equations

Authors

Brunelli, J. C.

Gurses, M.

Zheltukhin, K.

Description

We give the Lax representations for for the elliptic, hyperbolic and homogeneous second order Monge-Ampere equations. The connection between these equations and the equations of hydrodynamical type give us a scalar dispersionless Lax representation. A matrix dispersive Lax representation follows from the correspondence between sigma models, a two parameter equation for minimal surfaces and Monge-Ampere equations. Local as well nonlocal conserved densities are obtained.
Plain TeX, 15 pages