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Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman - Softcover

 
9781461224358: Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman

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Synopsis

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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  • PublisherBirkhäuser
  • Publication date2011
  • ISBN 10 1461224357
  • ISBN 13 9781461224358
  • BindingPaperback
  • LanguageEnglish
  • Number of pages364
  • EditorFokas A.S., Gelfand I.M.

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