Lie Symmetries of Differential Equations: Theory, Applications, and Symbolic Computation
Author:   Francesco Oliveri
Publisher:   Springer Nature Switzerland AG
ISBN:  

9783032127907


Pages:   466
Publication Date:   04 March 2026
Format:   Hardback
Availability:   Not yet available   Availability explained
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Lie Symmetries of Differential Equations: Theory, Applications, and Symbolic Computation


Overview

This monograph provides a timely overview of recent developments in classical Lie theory as well as concrete examples in applied mathematics and mathematical physics. Utilizing a comprehensive and self-contained approach, the author provides clear explanations of the theoretical arguments on which the applications are built. Specific examples with physical applications include the cylindrical Korteweg–de Vries equations, the Navier-Stokes-Fourier equations, the three-body problem, and more. With the author's focus on the utility and algorithmic nature of Lie group analysis of differential equations, readers will gain a deeper understanding of the mathematics underpinning these applications. The author also describes and directs readers to two open source algebra packages designed to help manage these complex computations. Lie Symmetries of Differential Equations will appeal to researchers in applied mathematics, particularly those in mathematical physics interested in exploring Lie group analysis.

Full Product Details

Author:   Francesco Oliveri
Publisher:   Springer Nature Switzerland AG
Imprint:   Birkhauser
ISBN:  

9783032127907


ISBN 10:   3032127904
Pages:   466
Publication Date:   04 March 2026
Audience:   General/trade ,  General
Format:   Hardback
Publisher's Status:   Forthcoming
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

Symmetries.- Lie groups of transformations.- Lie algebras.- Lie groups of transformations of differential equations.- Lie symmetries of ordinary differential equations.- Lie symmetries of partial differential equations.- Conservation laws.- Inverse problems in Lie group analysis of differential equations.- Lie symmetries and equivalent differential equations.- Conditional symmetries and equivalence transformations.- Approximate symmetries.- Computer algebra programs.

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