Author: AMS Special Session Integrable Systems and Riemann
Publisher: American Mathematical Society
Keywords: hilbert, problems, riemann, systems, developments, integrable, recent
Number of Pages: 200
Published: 2003-06-01
List price: $51.00
ISBN-10: 0821832034
ISBN-13: 9780821832035

This volume is a collection of papers presented at a special session on integrable systems and Riemann-Hilbert problems. The goal of the meeting was to foster new research by bringing together experts from different areas. Their contributions to the volume provide a useful portrait of the breadth and depth of integrable systems. Topics covered include discrete Painlevé equations, integrable nonlinear partial differential equations, random matrix theory, Bose-Einstein condensation, spectral and inverse spectral theory, and last passage percolation models. In most of these articles, the Riemann

Author: Boris A. Kupershmidt
Publisher: World Scientific Pub Co Inc
Keywords: systems, superintegrable, integrable
Number of Pages: 400
Published: 1991-02
List price: $135.00
ISBN-10: 9810203160
ISBN-13: 9789810203160

Author: Ashok Das
Publisher: World Scientific Publishing Company
Keywords: notes, physics, vol, lecture, scientific, models, world, integrable
Number of Pages: 342
Published: 1989-06
List price: $42.00
ISBN-10: 9971509113
ISBN-13: 9789971509118

Author: A. T. Fomenko
Publisher: American Mathematical Society
Keywords: soviet, mathematics, vol, advances, systems, classification, integrable, topological
Number of Pages: 345
Published: 1991-12
List price: $208.00
ISBN-10: 082184105X
ISBN-13: 9780821841051

In recent years, researchers have found new topological invariants of integrable Hamiltonian systems of differential equations and have constructed a theory for their topological classification. Each paper in this important collection describes one of the "building blocks" of the theory, and several of the works are devoted to applications to specific physical equations. In particular, this collection covers the new topological invariants of integrable equations, the new topological obstructions to integrability, a new Morse-type theory of Bott integrals, and classification o

Author: Joseph L. McCauley
Publisher: Cambridge University Pre
Keywords: chaotic, dynamics, integrable, flows, mechanics, transformations, classical
Number of Pages: 488
Published: 1997-05-13
List price: $68.00
ISBN-10: 0521578825
ISBN-13: 9780521578820

An advanced text for first-year graduate students in physics and engineering taking a standard classical mechanics course, this is the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organizing principle of the text is integrability vs. nonintegrability. It introduces flows in phase space and transformations early and illustrates their applications throughout the text. The standard integrable problems of elementary physics are analyzed from the standpoint of flows, transformations, and integrability. This approach allows the autho

Author: Yuri B. Suris
Publisher: Birkhäuser Basel
Keywords: progress, mathematics, approach, hamiltonian, integrable, discretization, problem
Number of Pages: 1070
Published: 2003-08-13
List price: $209.00
ISBN-10: 3764369957
ISBN-13: 9783764369958

The book explores 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

Author: Jens Hoppe
Publisher: Springer
Keywords: physics, monographs, notes, lecture, integrable, systems, lectures
Number of Pages: 111
Published: 1992-07-29
List price: $55.95
ISBN-10: 3540557008
ISBN-13: 9783540557005

Mainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-matrices for Calogero-Moser systems and Toda lattices are derived. Lax pairs for nontrivial infinite dimensionalsystems are constructed as limits of classical matrix algebras. The reader will find explanations of the approach to integrable field theo