Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman

Front Matter....Pages i-ix
Complex Billiard Hamiltonian Systems and Nonlinear Waves....Pages 1-16
Automorphic Pseudodifferential Operators....Pages 17-47
On τ-Functions of Zakharov—Shabat and Other Matrix Hierarchies of Integrable Equations....Pages 49-74
On the Hamiltonian Representation of the Associativity Equations....Pages 75-91
A Plethora of Integrable Bi-Hamiltonian Equations....Pages 93-101
Hamiltonian Structures in Stationary Manifold Coordinates....Pages 103-130
Compatibility in Abstract Algebraic Structures....Pages 131-141
A Theorem of Bochner, Revisited....Pages 143-172
Obstacles to Asymptotic Integrability....Pages 173-204
Infinitely-Precise Space-Time Discretizations of the Equation u t + uu x = 0....Pages 205-216
Trace Formulas and the Canonical 1-Form....Pages 217-235
On some “Schwarzian” Equations and their Discrete Analogues....Pages 237-260
Poisson Brackets for Integrable Lattice Systems....Pages 261-283
On the r-Matrix Structure of the Neumann System and its Discretizations....Pages 285-300
Multiscale Expansions, Symmetries and the Nonlinear Schrödinger Hierarchy....Pages 301-313
On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations....Pages 315-321
Classical and Quantum Nonultralocal Systems on the Lattice....Pages 323-350