On the Integrability of a Class of Monge-Ampère Equations
نویسنده
چکیده
We give the Lax representations for for the elliptic, hyperbolic and homogeneous second order Monge-Ampère 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-Ampère equations. Local as well nonlocal conserved densities are obtained. * [email protected] ** [email protected] *** [email protected]
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