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Author Ovsyannikov, L. V.

Title Lectures on the theory of group properties of differential equations / L V Ovsyannikov ; edited by Nail H Ibragimov ; translated by E D Avdonina, N H Ibragimov
Published Beijing : Higher Education Press ; World Scientific, ©2013
Online access available from:
EBSCO eBook Academic Collection    View Resource Record  


Description 1 online resource (xi, 141 pages)
Contents One-parameter continuous transformation groups admitted by differential equations -- Lie algebras and local Lie groups -- Group invariant solutions of differential equations
Summary These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models. Readers
Notes Translated from the Russian
Print version record
Subject Differential algebraic groups.
Differential equations, Nonlinear.
Differential equations.
Lie groups.
Form Electronic book
Author Avdonina, E. D.
Ibragimov, N. Kh. (Nailʹ Khaĭrullovich)
ISBN 7894236314 (electronic bk)
9787894236319 (electronic bk)