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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations - I.S. Krasil'shchik; P.H. Kersten
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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations - pocketboek

ISBN: 9789048154609

To our wives, Masha and Marian Interest in the so-called completely integrable systems with infinite num­ ber of degrees of freedom was aroused immediately after publication of the famous… Meer...

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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations - I.S. Krasil'shchik
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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations - nieuw boek

ISBN: 9789048154609

This book is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), b… Meer...

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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations - Krasil'shchik, I. S. / Kersten, P. H.
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ISBN: 9789048154609

This book is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), bot… Meer...

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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations (Mathematics and Its Applications (closed)): 507 - Krasilshchik, I.S.
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Krasilshchik, I.S.:
Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations (Mathematics and Its Applications (closed)): 507 - pocketboek

2010, ISBN: 9789048154609

Springer, Paperback, Auflage: Softcover reprint of hardcover 1st ed. 2000, 404 Seiten, Publiziert: 2010-12-09T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 0.62 kg, Algorithm… Meer...

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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations - pocketboek

2000, ISBN: 904815460X

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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations (Mathematics and Its Applications (closed)): 507

This book 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 Frölicher-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 Schrödinger equations, etc.) is proved. Audience: The book will be of interest to mathematicians and physicists specializing in geometry of differential equations, integrable systems and related topics.

Gedetalleerde informatie over het boek. - Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations (Mathematics and Its Applications (closed)): 507


EAN (ISBN-13): 9789048154609
ISBN (ISBN-10): 904815460X
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
404 Bladzijden
Gewicht: 0,608 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-08-31T22:45:27+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-01-08T12:46:14+01:00 (Amsterdam)
ISBN/EAN: 9789048154609

ISBN - alternatieve schrijfwijzen:
90-481-5460-X, 978-90-481-5460-9


Gegevens van de uitgever

Auteur: I.S. Krasil'shchik; P.H. Kersten
Titel: Mathematics and Its Applications; Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
Uitgeverij: Springer; Springer Netherland
384 Bladzijden
Verschijningsjaar: 2010-12-09
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,617 kg
Taal: Engels
181,89 € (DE)
186,99 € (AT)
200,50 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Mathematica; algebra; algorithms; differential geometry; geometry; partial differential equation; partial differential equations; C; Non-associative Rings and Algebras; Category Theory, Homological Algebra; Partial Differential Equations; Differential Geometry; Numeric Computing; Non-associative Rings and Algebras; Category Theory, Homological Algebra; Differential Equations; Differential Geometry; Numerical Analysis; Mathematics and Statistics; Mathematische Grundlagen; Algebra; Differentialrechnung und -gleichungen; Differentielle und Riemannsche Geometrie; Theoretische Informatik; BB

Preface. 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. Bibliography. Index.

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