On the Integrability of a Class of Monge-Ampere Equations

Details On the Integrability of a Class of Monge-Ampere Equations On the Integrability of a Class of Monge-Ampere Equations

1999-06-29

arxiv.org/abs/hep-th/9906233v1

Rev.Math.Phys. 13 (2001) 529

Physics

High Energy Physics

High Energy Physics - Theory

Plain TeX, 15 pages

Scientific paper

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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