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2021 | OriginalPaper | Chapter

3. Symmetries and Integrals

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Author: Valentin V. Lychagin

Publisher: Springer International Publishing

Published in: Differential Geometry, Differential Equations, and Mathematical Physics

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Abstract

In these lectures, I want to illustrate an application of symmetry ideas to integration of differential equations. Basically, we will consider only differential equations of finite type, i.e. equations with finite-dimensional space Sol of (local) solutions. Ordinary differential equations make up one of the main examples of such equations.

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Title

Symmetries and Integrals

Book

Differential Geometry, Differential Equations, and Mathematical Physics

Print ISBN: 978-3-030-63252-6

Electronic ISBN: 978-3-030-63253-3

https://doi.org/10.1007/978-3-030-63253-3

DOI

https://doi.org/10.1007/978-3-030-63253-3_3

Author:

Valentin V. Lychagin

Publisher

Springer International Publishing

Sequence number

Chapter number

Chapter 3

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