Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications, 26)

ISBN 10: 0817638350 / ISBN 13: 9780817638351

Editore: Birkhäuser, 1996

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Codice articolo SHUB129869

Dati bibliografici

• Titolo: Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications, 26)
• Editore: Birkhäuser
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0817638350
• ISBN 13: 9780817638351
• Rilegatura: Rilegato
• Condizione: nuovo

Descrizione articolo

Riassunto

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.

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.