On the Integrability of a Class of Monge-Ampere Equations
High Energy Physics - Theory
2007-05-23 v1 Exactly Solvable and Integrable Systems
solv-int
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.
Keywords
Cite
@article{arxiv.hep-th/9906233,
title = {On the Integrability of a Class of Monge-Ampere Equations},
author = {J. C. Brunelli and M. Gurses and K. Zheltukhin},
journal= {arXiv preprint arXiv:hep-th/9906233},
year = {2007}
}
Comments
Plain TeX, 15 pages