Geodesic
On the contact linearization of Monge--Ampere equations
Izvestiya. Mathematics , Tome 60 (1996) no. 2, pp. 425-451

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This paper is devoted to the solution of a number of problems related to the contact classification of Monge–Ampere equations with two independent variables. In the 1870s Sophus Lie formulated the problem of finding whether a local reduction of a given Monge–Ampere equation to some simpler second-order equation (to a semilinear, linear with respect to the derivatives, equation with constant coefficients) is possible. In this paper conditions are studied that yield a realization of such a reduction. As objects that occur in the formulation of these conditions, we use the characteristic bundles of the given Monge–Ampere equation and their derivatives. 
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     author = {D. V. Tunitsky},
     title = {On the contact linearization of {Monge--Ampere} equations},
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D. V. Tunitsky. On the contact linearization of Monge--Ampere equations. Izvestiya. Mathematics , Tome 60 (1996) no. 2, pp. 425-451. http://geodesic.mathdoc.fr/item/IM2_1996_60_2_a7/