Faddeev / Lambert Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete

Proceedings of the NATO Advanced Research Workshop on Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete St. Petersburg, Russia, 15-19 September 2002
1. Auflage 2007
ISBN: 978-1-4020-3503-6
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)

E-Book, Englisch, 378 Seiten

The CKP hierarchy and the WDVV prepotential.- Quantum invariance groups of particle algebras.- Algebraic Hirota maps.- Boundary states in Susy Sine-Gordon model.- Geometry of discrete integrability. The consistency approach.- Homoclinic orbits and dressing method.- Riemann-Hilbert problem and algebraic curves.- Analytic and algebraic aspects of Toda field theories and their real Hamiltonian forms.- Bilinear avatars of the discrete Painlevé II equation.- Orthogonal polynomials satisfying Q-difference equations.- Discretization of coupled soliton equations.- An adelic W-algebra and rank one bispectral operators.- Toroidal Lie algebra and bilinear identity of the self-dual Yang-Mills hierarchy.- From soliton equations to their zero curvature formulation.- Covariant forms of Lax one-field operators: from Abelian to non-commutative.- On the Dirichlet boundary problem and Hirota equations.- Functional-difference deformations of Darboux-Pöshl-Teller potentials.- Maxwell equations for quantum space-time.- A solvable model of interacting photons.- Discretization of a Sine-Gordon type equation- Hierarchy of quantum explicitly solvable and integrable models.- A two-parameter elliptic extension of the lattice KDV system.- Travelling waves in a perturbed discrete Sine-Gordon equation.- Quantum VS classical Calogero-Moser systems.- Geometrical dynamics of an integrable piecewise-linear mapping.- Free bosons and dispersionless limit of Hirota tau-function.- Similarity reductions of Hirota bilinear equations and Painlevé equations.- On fundamental cycle of periodic Box-Ball systems.- Combinatorics and integrable geometry.- On reductions of some KDV-type systems and their link to the quartic Hénon-Heiles Hamiltonian.- On the bilinear forms of Painlevés 4th equation.

Autoren/Hrsg.

Faddeev, Ludwig

Lambert, Franklin