Algebraic Integrability, Painlev? Geometry and Lie Algebras, Mark Adler; Pierre van Moerbeke; Pol Vanhaecke
Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume Название: Differential Equations - Geometry, Symmetries and Integrability ISBN: 3642269338 ISBN-13(EAN): 9783642269332 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.
Автор: Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan Название: Nonlinear Dynamics Integrability, Chaos and Patterns ISBN: 3642628729 ISBN-13(EAN): 9783642628726 Издательство: Springer Рейтинг: Цена: 25149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.
Автор: Yvette Kosmann-Schwarzbach; Basil Grammaticos; K.M Название: Integrability of Nonlinear Systems ISBN: 3642058353 ISBN-13(EAN): 9783642058356 Издательство: Springer Рейтинг: Цена: 13059.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Robert M. Conte; Micheline Musette Название: The Painlev? Handbook ISBN: 9400796277 ISBN-13(EAN): 9789400796270 Издательство: Springer Рейтинг: Цена: 13059.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers methods of building explicit solutions to nonlinear differential equations. Finding out whether the chances of success are high or low can be achieved with a powerful algorithm presented in detail called the Painleve test.
Автор: A.K. Prykarpatsky; I.V. Mykytiuk Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds ISBN: 0792350901 ISBN-13(EAN): 9780792350903 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mechanics and hydrodynamics. This book offers solutions to many quantization procedure problems. It is for graduate-level students, researchers and mathematical physicists.
Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume Название: Differential Equations - Geometry, Symmetries and Integrability ISBN: 3642008720 ISBN-13(EAN): 9783642008726 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. This title consists of original contributions and overview lectures of the participants of the Symposium. It includes papers that present the modern approach to this classical subject.
Автор: Alexander Mikhailov Название: Integrability ISBN: 3642099904 ISBN-13(EAN): 9783642099908 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Integrable systems are used for a range of applications in modern theoretical and mathematical physics. This text presents various views on the definition of integrable systems and develops methods and tests for integrability based on those definitions.
The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics. It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections.
Complex multi-valued solutions on C* are the natural context for most of the monograph, but in the last four chapters real solutions on R>0 (with or without singularities) are addressed. These provide examples of variations of TERP structures, which are related to tt∗ geometry and harmonic bundles.
As an application, a new global picture o0 is given.
Автор: Decio Levi; Pavel Winternitz Название: Painlev? Transcendents ISBN: 0306440504 ISBN-13(EAN): 9780306440502 Издательство: Springer Рейтинг: Цена: 30039.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp- totics and Physical Applications", held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re- sults of new original research. The result is a volume which, though multiauthored, has the character of a monograph on a single topic. This is the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the extension of this theory to partial differential equations. For short we shall call such systems "equations with the Painleve property". The search for such equations was a very topical mathematical problem in the 19th century. Early work concentrated on first order differential equations. One of Painleve's important contributions in this field was to develop simple methods applicable to higher order equations. In particular these methods made possible a complete analysis of the equation;; = f(y', y, x), where f is a rational function of y' and y, with coefficients that are analytic in x. The fundamental result due to Painleve (Acta Math.
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