Abstract
We solve a problem of local contact equivalence of hyperbolic and elliptic Monge-Ampère equations to linear equations with constant coefficients. We find normal forms for such equations: the telegraph equation and the Helmholtz equation.
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Kushner, A.G. On Contact Equivalence of Monge-Ampère Equations to Linear Equations with Constant Coefficients. Acta Appl Math 109, 197–210 (2010). https://doi.org/10.1007/s10440-009-9447-z
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DOI: https://doi.org/10.1007/s10440-009-9447-z