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Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures [I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis covery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and al most simultaneously, by Magri [4] (see also [5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting.
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Contenuti
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.
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- EditoreBirkhäuser
- Data di pubblicazione2011
- ISBN 10 1461275350
- ISBN 13 9781461275350
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine364
- RedattoreFokas A.S., Gelfand I.M.
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Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications)
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Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications)
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Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications)
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BirkhAuser Boston 1996-01-01, 1996
ISBN 10: 1461275350
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Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures [I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis covery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and al most simultaneously, by Magri [4] (see also [5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting. Codice articolo 9781461275350
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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.-. Codice articolo 4190139
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Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications, 26)
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Algebraic Aspects of Integrable Systems
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures [I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis covery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and al most simultaneously, by Magri [4] (see also [5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting. 364 pp. Englisch. Codice articolo 9781461275350
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