On the integrability of a class of Monge-Ampere equations

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2001-04-01

Author

BRUNELLI, J C
GÜRSES, METİN
Zheltukhın, Kostyantyn

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We give the Lax representations 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.

Subject Keywords

Mathematical Physics, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/46517

Journal

REVIEWS IN MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1142/s0129055x01000764

Collections

Department of Mathematics, Article

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Citation Formats

J. C. BRUNELLI, M. GÜRSES, and K. Zheltukhın, “On the integrability of a class of Monge-Ampere equations,” REVIEWS IN MATHEMATICAL PHYSICS, pp. 529–543, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46517.