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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 258, Pages 208–230
(Mi znsl1039)
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This article is cited in 2 scientific papers (total in 2 papers)
Symmetry analysis of differential equations using MATHLIE
G. Baumann Institute of Theoretical Physics, University of Ulm
Abstract:
This article discusses a general procedure to solve ordinary differential equations of arbitrary order. The method
used is based on symmetries of differential equation. The known symmetries allow the derivation of first integrals of the equation. The knowledge of at least $r$ symmetries of an ordinary differential equation of order $n$ with $r\ge n$ is the basis for deriving the solution. Our aim is to show that Lie's theory is instrumental for solving an ordinary differential equation of higher-order.
Received: 06.10.1999
Citation:
G. Baumann, “Symmetry analysis of differential equations using MATHLIE”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IV, Zap. Nauchn. Sem. POMI, 258, POMI, St. Petersburg, 1999, 208–230; J. Math. Sci. (New York), 108:6 (2002), 1052–1069
Linking options:
https://www.mathnet.ru/eng/znsl1039 https://www.mathnet.ru/eng/znsl/v258/p208
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Abstract page: | 299 | Full-text PDF : | 227 |
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