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New Trends in Integrability and Partial Solvability : NATO Science Series II - A. B. Shabat

New Trends in Integrability and Partial Solvability

NATO Science Series II

By: A. B. Shabat (Editor), A. Gonzalez-Lopez (Editor), M. Manas (Editor), L. Martinez Alonso (Editor), M. A. Rodriguez (Editor)


Published: 31st January 2004
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This book contains discussions of some of the most exciting subjects in the intimately related fields of integrability and partial solvability. It presents a wide variety of advanced topics, such as the symmetry approach to integrability and partial solvability, partially and exactly solvable many-body systems, the interplay between chaos and integrability, the inverse scattering method for initial-boundary problems, and new methods for dealing with reductions and deformations of integrable systems. A special effort is made to discuss the present frontiers of the concept of integrability. The articles cover some of the most active areas in integrability and partial and exact solvability. More precisely, the following topics are discussed: nonlinear harmonic oscillators, chaotic dynamics, initial-boundary nonlinear problems, reductions and deformations of integrable systems, Darboux transformations, Yang-Baxter equations and matrix solitons, superintegrable systems, exactly and quasi-exactly solvable spin and many-body models.

List of Contributors
Initial value problems and solutions of the Kadomtsev-Petviashvili equation
Partially superintegrable (indeed isochronous) systems are not rare
Initial-boundary value problems for linear PDEs: the analyticity approach
Quasi-exactly solvable Bose systems
The Riemann and Einstein-Weyl geometries in the theory of ordinary differential equations, their applications and all that
Dunkl operators and Calogero-Sutherland models
Yang-Baxter maps and matrix solitons
Nonlocal Symmetries and Ghosts
Integrable BCN analytic difference operators: hidden parameter symmetries and eigenfunctions
On the prolongation of a hierarchy of hydrodynamic chains
Superintegrable systems in classical and quantum mechanics
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9781402018350
ISBN-10: 1402018355
Series: NATO Science Series II
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 297
Published: 31st January 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.37