Title | Algebraic Aspects of Integrable Systems [electronic resource] : In Memory of Irene Dorfman / edited by A. S. Fokas, I. M. Gelfand |
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Imprint | Boston, MA : Birkhรคuser Boston, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2434-1 |
Descript | X, 350 p. online resource |
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 โSchwarzianโ 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 Schrรถdinger Hierarchy -- On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations -- Classical and Quantum Nonultralocal Systems on the Lattice