Geometric Aspects Of The Einstein Equations And Integrable Systems
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Geometric Aspects Of The Einstein Equations And Integrable Systems
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Author : Rodolfo Martini
language : en
Publisher: Springer
Release Date : 1985
Geometric Aspects Of The Einstein Equations And Integrable Systems written by Rodolfo Martini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Biography & Autobiography categories.
Geometric Aspects Of The Einstein Equations And Integrable Systems
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Author : Rodolfo Martini
language : en
Publisher:
Release Date : 2014-01-15
Geometric Aspects Of The Einstein Equations And Integrable Systems written by Rodolfo Martini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices
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Author : Anton Dzhamay
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-26
Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices written by Anton Dzhamay and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Mathematics categories.
This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates
Geometric Aspects Of The Einstein Equations And Integrable Systems
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Author : Rodolfo Martini
language : en
Publisher:
Release Date : 1985
Geometric Aspects Of The Einstein Equations And Integrable Systems written by Rodolfo Martini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with General relativity (Physics) categories.
Darboux Transformations In Integrable Systems
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Author : Chaohao Gu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-09
Darboux Transformations In Integrable Systems written by Chaohao Gu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-09 with Science categories.
The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years. Audience: The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) in mathematics and physics.
Symmetries And Integrability Of Difference Equations
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Author : Decio Levi
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Symmetries And Integrability Of Difference Equations written by Decio Levi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This book is devoted to a topic that has undergone rapid and fruitful development over the last few years: symmetries and integrability of difference equations and q-difference equations and the theory of special functions that occur as solutions of such equations. Techniques that have been traditionally applied to solve linear and nonlinear differential equations are now being successfully adapted and applied to discrete equations. This volume is based on contributions made by leading experts in the field during the workshop on Symmetries and Integrability of Difference Equations held Estérel, Québec, in May 1994. Giving an up-to-date review of the current status of the field, the book treats these specific topics: Lie group and quantum group symmetries of difference and q-difference equations, integrable and nonintegrable discretizations of continuous integrable systems, integrability of difference equations, discrete Painlevé property and singularity confinement, integrable mappings, applications in statistical mechanics and field theories, Yang-Baxter equations, q-special functions and discrete polynomials, and q-difference integrable systems.
Symmetries And Integrability Of Difference Equations
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Author : Peter A. Clarkson
language : en
Publisher: Cambridge University Press
Release Date : 1999-02-04
Symmetries And Integrability Of Difference Equations written by Peter A. Clarkson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-04 with Mathematics categories.
This volume comprises state-of-the-art articles in discrete integrable systems.
B Cklund And Darboux Transformations
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Author : A. A. Coley
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-01-01
B Cklund And Darboux Transformations written by A. A. Coley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.
Discrete Integrable Geometry And Physics
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Author : Alexander I. Bobenko
language : en
Publisher: Clarendon Press
Release Date : 1999
Discrete Integrable Geometry And Physics written by Alexander I. Bobenko and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Recent interactions between the fields of geometry, classical and quantum dynamical systems, and visualization of geometric objects such as curves and surfaces have led to the observation that most concepts of surface theory and of the theory of integrable systems have natural discreteanalogues. These are characterized by the property that the corresponding difference equations are integrable, and has led in turn to some important applications in areas of condensed matter physics and quantum field theory, amongst others. The book combines the efforts of a distinguished team ofauthors from various fields in mathematics and physics in an effort to provide an overview of the subject. The mathematical concepts of discrete geometry and discrete integrable systems are firstly presented as fundamental and valuable theories in themselves. In the following part these concepts areput into the context of classical and quantum dynamics.
B Cklund And Darboux Transformations
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Author : C. Rogers
language : en
Publisher: Cambridge University Press
Release Date : 2002-06-24
B Cklund And Darboux Transformations written by C. Rogers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-24 with Mathematics categories.
This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.