- Volume
-
: us ISBN 9780817638351
Description
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.
Table of Contents
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.
- Volume
-
: sz ISBN 9783764338350
Description
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.
by "Nielsen BookData"
