Ovsiannikov, L. V. Group analysis of differential equations. Transl. from the Russian ed. by W. F. Ames. (English) Zbl 0485.58002 New York etc.: Academic Press, a Subsidiary of Harcourt Brace Jovanovich, Publishers. xvi, 416 p. $ 54.00 (1982). Translation of the Russian original [Групповые свойства дифференциальных уравнений. Izdat. Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 239 p. (1962)]. Reviewer: Alexander G. Ramm Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 ReviewsCited in 891 Documents MSC: 58-02 Research exposition (monographs, survey articles) pertaining to global analysis 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35A30 Geometric theory, characteristics, transformations in context of PDEs 58J72 Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds 37C80 Symmetries, equivariant dynamical systems (MSC2010) 22E05 Local Lie groups 22E15 General properties and structure of real Lie groups 34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations Keywords:one-parameter transformation groups; groups admitted by differential equations; systems of ordinary differential equations; second order partial differential equations in real 2-space; differential invariance; group analysis of differential equations; partially invariant solutions; fluid mechanics; boundary layer and gas dynamics equations PDF BibTeX XML OpenURL