Abstract
The results of the preceding chapter and previous experience show that success in searching invariant manifolds (differential constraints [158]) depends substantially on the researcher’s intuition and good fortune. On the other hand, group analysis of differential equations is a rather effective tool for obtaining special classes of invariant manifolds. In this respect, it is natural to attempt at generalizing some structures of group analysis. One of these attempts is exposed in the current chapter.
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© 1998 Springer Science+Business Media Dordrecht
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Andreev, V.K., Kaptsov, O.V., Pukhnachov, V.V., Rodionov, A.A. (1998). The Method of Defining Equations. In: Applications of Group-Theoretical Methods in Hydrodynamics. Mathematics and Its Applications, vol 450. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0745-9_4
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DOI: https://doi.org/10.1007/978-94-017-0745-9_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5083-0
Online ISBN: 978-94-017-0745-9
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