Symmetries and Recursion Operators for Classical and Supersymmetric Differential

Description: Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations by I.S. Krasil'shchik, P.H. Kersten This book is an exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE). It contains a theory of Frolicher-Nijenhuis brackets which is the basis for a special cohomological theory naturally related to the equation structure. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), both in classical and in super, or graded, versions. It contains an original theory of Frolicher-Nijenhuis brackets which is the basis for a special cohomological theory naturally related to the equation structure. This theory gives rise to infinitesimal deformations of PDE, recursion operators being a particular case of such deformations. Efficient computational formulas for constructing recursion operators are deduced and, in combination with the theory of coverings, lead to practical algorithms of computations. Using these techniques, previously unknown recursion operators (together with the corresponding infinite series of symmetries) are constructed. In particular, complete integrability of some superequations of mathematical physics (Korteweg-de Vries, nonlinear Schrodinger equations, etc.) is proved. It should be of interest to mathematicians and physicists specializing in geometry of differential equations, integrable systems and related topics. Table of Contents 1. Classical symmetries.- 2. Higher symmetries and conservation laws.- 3. Nonlocal theory.- 4. Brackets.- 5. Deformations and recursion operators.- 6. Super and graded theories.- 7. Deformations of supersymmetric equations.- 8. Symbolic computations in differential geometry. Long Description To our wives, Masha and Marian Interest in the so-called completely integrable systems with infinite num Details ISBN0792363159 Author P.H. Kersten Short Title SYMMETRIES & RECURSION OPERATO Language English ISBN-10 0792363159 ISBN-13 9780792363156 Media Book Format Hardcover DEWEY 515.355 Series Number 507 Year 2000 Place of Publication Dordrecht Publisher Springer Pages 384 Imprint Springer Country of Publication Netherlands Illustrations XVI, 384 p. DOI 10.1023/b129272;10.1007/978-94-017-3196-6 Edition Description 2000 ed. Series Mathematics and Its Applications Edition 2000th Publication Date 2000-05-31 Alternative 9789048154609 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96221643;

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