AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
SIDE III—Symmetries and Integrability of Difference Equations
About this Title
Decio Levi, University of Rome I, Rome, Italy and Orlando Ragnisco, University of Rome III, Rome, Italy, Editors
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2000; Volume 25
ISBNs: 978-0-8218-2128-2 (print); 978-1-4704-3939-2 (online)
DOI: https://doi.org/10.1090/crmp/025
MathSciNet review: MR1771703
MSC: Primary 37-06; Secondary 37K05, 37K10, 39-06, 39A10
ReadershipTable of Contents
Front/Back Matter
Chapters
- Billiard weak solutions of nonlinear PDE’s and Toda flows
- Fourier-Gauss transforms of some $q$-spectral functions
- Integrable differential-difference systems in (2 + 1)-dimensions and their Hamiltonian structure
- Möbius invariant integrable lattice equations associated with the generalized KP hierarchy
- Wave soliton solutions on a generic background for KPI equation
- Difference and differential equations and convergence acceleration algorithms
- On the dynamics of rational solutions for 1-D Volterra system
- Monodromy data for the discrete first Painlevé hierarchy
- Differential identities, generalized polynomials and applications in physics and mathematics
- Lattice geometry of the Hirota equation
- Integrable discrete geometry: The quadrilateral lattice, its transformations and reductions
- On the Kleinian construction of abelian functions of canonical algebraic curves
- Discrete equations and the singular manifold method
- Discrete versions of some algebraic integrable systems related to generalized Jacobians
- New potential symmetries
- Symmetry classification of systems of differential-difference equations
- Integrable boundary conditions for nonlinear lattices
- Modular invariants and generalized Halphen systems
- Symmetry preserving discretization of the Burgers equation
- Singularity confinement and degree growth
- Time-discretization of soliton equations
- Bäcklund transformations for the Hénon-Heiles and Garnier systems
- Irregular singular behaviour in the first discrete Painlevé equation
- Rational and special solutions of the $P_{\mathrm {II}}$ hierarchy
- Linearisable systems and the Gambier approach
- Difference equations of Poincaré-Perron type and central two-point connection problems
- Self-similarity in spectral problems and $q$-special functions
- Lie point symmetries of discrete and continual SU($\infty $) Toda field theory
- A note on integrable systems related to discrete time Toda lattice
- The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with $U_q(\widehat {sl}_n)$ for $|q| = 1$
- Symmetries of the discrete Schrödinger equation and its quantum deformations
- Determinant and Pfaffian solutions for discrete soliton equations
- Difference isomonodromy problems and discrete Painlevé equations
- Discrete equations of motion for $A_{k-1}$ algebra
- Discrete Painlevé equations from nonisospectral soliton equations
- A study of the continuous and discrete Gambier systems
- Discrete surfaces of revolution
- Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations
- Different faces of harmonic oscillator
- Nonsymmetric linear difference equations for multiple orthogonal polynomials
- Asymptotics for solution to the Cauchy problem for Volterra lattice with step-like initial values
- Complexity and integrability