A Contact Linearization Problem for Monge-Ampère Equations and Laplace Invariants

Authors :: Alexei G. Kushner
Source :: Acta Applicandae Mathematicae. 101:177-189
Publication Year :: 2008
Publisher :: Springer Science and Business Media LLC, 2008.
Abstract: We solve a problem of contact linearization for non-degenerate regular Monge-Ampere equations. In order to solve the problem we construct tensor invariants of equations with respect to contact transformations and generalize the classical Laplace invariants.

Subjects :: Tensor invariants
Partial differential equation
Laplace transform
Mathematics::Complex Variables
Linearization
Applied Mathematics
Contact geometry
Laplace transform applied to differential equations
Mathematical analysis
Order (ring theory)
Ampere
Mathematics

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