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Integrable Hamiltonian Hierarchies

2008-06-02 Science
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Release : 2008-06-02
Genre : Science
Kind : eBook
Book Rating : 534/5 ( reviews)

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Book Synopsis Integrable Hamiltonian Hierarchies by : Vladimir Gerdjikov

Download or read book Integrable Hamiltonian Hierarchies written by Vladimir Gerdjikov. This book was released on 2008-06-02. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their hierarchies.

Integrable and Superintegrable Systems

1990 Mathematics
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Release : 1990
Genre : Mathematics
Kind : eBook
Book Rating : 160/5 ( reviews)

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Book Synopsis Integrable and Superintegrable Systems by : Boris A. Kupershmidt

Download or read book Integrable and Superintegrable Systems written by Boris A. Kupershmidt. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt: Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.

Integrable Hierarchies and Modern Physical Theories

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 209/5 ( reviews)

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Book Synopsis Integrable Hierarchies and Modern Physical Theories by : Henrik Aratyn

Download or read book Integrable Hierarchies and Modern Physical Theories written by Henrik Aratyn. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Chicago, USA, July 22-26, 2000

Algebraic Aspects of Integrable Systems

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 349/5 ( reviews)

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Book Synopsis Algebraic Aspects of Integrable Systems by : A.S. Fokas

Download or read book Algebraic Aspects of Integrable Systems written by A.S. Fokas. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles in memory of Irene Dorfman and her research in mathematical physics. Among the topics covered are: the Hamiltonian and bi-Hamiltonian nature of continuous and discrete integrable equations; the t-function construction; the r-matrix formulation of integrable systems; pseudo-differential operators and modular forms; master symmetries and the Bocher theorem; asymptotic integrability; the integrability of the equations of associativity; invariance under Laplace-darboux transformations; trace formulae of the Dirac and Schrodinger periodic operators; and certain canonical 1-forms.

The Problem of Integrable Discretization

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 162/5 ( reviews)

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Book Synopsis The Problem of Integrable Discretization by : Yuri B. Suris

Download or read book The Problem of Integrable Discretization written by Yuri B. Suris. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property? This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons. Most of the results are only available from recent journal publications, many of them are new. Thus, the book is a kind of encyclopedia on discrete integrable systems. It unifies the features of a research monograph and a handbook. It is supplied with an extensive bibliography and detailed bibliographic remarks at the end of each chapter. Largely self-contained, it will be accessible to graduate and post-graduate students as well as to researchers in the area of integrable dynamical systems.

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