%0 Journal Article
%T On the Integrability of a Class of Monge-Ampere Equations
%A J. C. Brunelli
%A M. Gurses
%A K. Zheltukhin
%J Physics
%D 1999
%I arXiv
%X 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.
%U http://arxiv.org/abs/hep-th/9906233v1