|
This article is cited in 20 scientific papers (total in 20 papers)
On the contact linearization of Monge–Ampere equations
D. V. Tunitsky International Center "Sophus Lie"
Abstract:
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.
Received: 24.05.1995
Citation:
D. V. Tunitsky, “On the contact linearization of Monge–Ampere equations”, Izv. RAN. Ser. Mat., 60:2 (1996), 195–220; Izv. Math., 60:2 (1996), 425–451
Linking options:
https://www.mathnet.ru/eng/im76https://doi.org/10.1070/IM1996v060n02ABEH000076 https://www.mathnet.ru/eng/im/v60/i2/p195
|
Statistics & downloads: |
Abstract page: | 441 | Russian version PDF: | 219 | English version PDF: | 29 | References: | 49 | First page: | 2 |
|