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Book Cover
E-book
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

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Description 1 online resource (xi, 141 pages)
Series Nonlinear Physical Science
Nonlinear physical science.
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.
Lie groups.
Differential equations.
Differential equations, Nonlinear.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Differential algebraic groups
Differential equations
Differential equations, Nonlinear
Lie groups
Differentialgleichung
Gruppe Mathematik
Form Electronic book
Author Ibragimov, N. Kh. (Nailʹ Khaĭrullovich)
Avdonina, E. D
ISBN 9787894236319
7894236314