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OverviewThis 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 DetailsAuthor: I.S. Krasil'shchik , A.M. VinogradovPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 182 Weight: 0.810kg ISBN: 9780821809587ISBN 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 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."ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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