On the Integrability of a Class of Monge-Ampere Equations

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

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arXiv · hep-th/9906233

On the Integrability of a Class of Monge-Ampere Equations

J. C. Brunelli·M. Gurses·K. Zheltukhin

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Abstract

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.

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J. C. Brunelli, M. Gurses, K. Zheltukhin. 1999-06-29. On the Integrability of a Class of Monge-Ampere Equations. https://arxiv.org/abs/hep-th/9906233

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