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.
Inhaltsverzeichnis
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.
