Symmetries and Conservation Laws for Differential Equations of Mathematical Physics

Author:   I.S. Krasil'shchik ,  A.M. Vinogradov
Publisher:   American Mathematical Society
Volume:   No. 182
ISBN:  

9780821809587


Pages:   347
Publication Date:   30 January 1999
Format:   Hardback
Availability:   To order   Availability explained
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Symmetries and Conservation Laws for Differential Equations of Mathematical Physics


Overview

This book presents developments in the geometric approach to nonlinear partial differential equations (PDEs). The expositions discuss the main features of the approach, and the theory of symmetries and the conservation laws based on it. The book combines rigorous mathematics with concrete examples. Nontraditional topics, such as the theory of nonlocal symmetries and cohomological theory of conservation laws, are also included. The volume is largely self-contained and includes detailed motivations, extensive examples and exercises, and careful proofs of all results. Readers interested in learning the basics of applications of symmetry methods to differential equations of mathematical physics will find the text useful. Experts will also find it useful as it gathers many results previously only available in journals.

Full Product Details

Author:   I.S. Krasil'shchik ,  A.M. Vinogradov
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 182
Weight:   0.810kg
ISBN:  

9780821809587


ISBN 10:   082180958
Pages:   347
Publication Date:   30 January 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

"Ordinary differential equations First-order equations The theory of classical symmetries Higher symmetries Conservation laws Nonlocal symmetries From symmetries of partial differential equations towards secondary (""""quantized"""") calculus Bibliography Index."

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NOV RG 20252

 

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