Symmetries of distributions and quadrature of ordinary differential equations |
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| Authors: | S. V. Duzhin V. V. Lychagin |
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| Affiliation: | (1) Program Systems Institute of the U.S.S.R. Academy of Sciences, 152140 Pereslavl-Zalessky, U.S.S.R.;(2) All-Union Correspondence Institute of Civil Engineering, Sr. Kalitnikovskaya 30, 109807 Moscow, U.S.S.R. |
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| Abstract: | ![]()
We present a geometric exposition of S. Lie's and E. Cartan's theory of explicit integration of finite-type (in particular, ordinary) differential equations. Numerous examples of how this theory works are given. In one of these, we propose a method of hunting for particular solutions of partial differential equations via symmetry preserving overdetermination. |
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| Keywords: | 34A05 35C05 53C12 58A30 17B30 |
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