Algebraic Aspects of Integrable Systems
In Memory of Irene Dorfman
Will be published approx. on 1. October 1996
Book
Hardback
X, 350 pages
978-0-8176-3835-1 (ISBN)
Description
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.
More details
Series
Edition
1997 ed.
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
X, 350 p.
Dimensions
Height: 0 mm
Width: 0 mm
Weight
676 gr
ISBN-13
978-0-8176-3835-1 (9780817638351)
DOI
10.1007/978-1-4612-2434-1
Schweitzer Classification
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Book
10/2011
Springer-Verlag New York Inc.
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Previous edition
A. S. Fokas | I. M. Gelfand
Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman
In Memory of Irene Dorfman
Book
08/1996
Birkhäuser Verlag GmbH
€77.99
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Content
Complex Billiard Hamiltonian Systems and Nonlinear Waves.- Automorphic Pseudodifferential Operators.- On ?-Functions of Zakharov-Shabat and Other Matrix Hierarchies of Integrable Equations.- On the Hamiltonian Representation of the Associativity Equations.- A Plethora of Integrable Bi-Hamiltonian Equations.- Hamiltonian Structures in Stationary Manifold Coordinates.- Compatibility in Abstract Algebraic Structures.- A Theorem of Bochner, Revisited.- Obstacles to Asymptotic Integrability.- Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0.- Trace Formulas and the Canonical 1-Form.- On Some "Schwarzian" Equations and their Discrete Analogues.- Poisson Brackets for Integrable Lattice Systems.- On the r-Matrix Structure of the Neumann Systems and its Discretizations.- Multiscale Expansions, Symmetries and the Nonlinear Schrödinger Hierarchy.- On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations.- Classical and Quantum Nonultralocal Systems on the Lattice.