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Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete: Proceedings of the NATO Advanced Research Workshop on Bilinear Integrable ... II: by Ludwig Faddeev (Editor), Pierre Van Moerbeke (Editor), Franklin Lambert (Editor)

Table of contents:

The CKP hierarchy and the WDVV prepotential; H. Aratyn, J. van de Leur.

Quantum invariance groups of particle algebras; M. Arik.

Algebraic Hirota maps; C. Athorne. Boundary states in Susy Sine-Gordon model; Z. Bajnok et al.

Geometry of discrete integrability. The consistency approach; A.I. Bobenko.

Homoclinic orbits and dressing method; E.V. Doktorov, V.M. Rothos.

Riemann-Hilbert problem and algebraic curves; V. Enolskii, T. Grava.

Analytic and algebraic aspects of Toda field theories and their real Hamiltonian forms; V.S. Gerdjikov.

Bilinear avatars of the discrete Painlevé II equation; B. Grammaticos et al.

Orthogonal polynomials satisfying Q-difference equations; L. Haine.

Discretization of coupled soliton equations; R. Hirota.

An adelic W-algebra and rank one bispectral operators; E. Horozov.

Toroidal Lie algebra and bilinear identity of the self-dual Yang-Mills hierarchy; S. Kakei.

From soliton equations to their zero curvature formulation; F. Lambert, J. Springael.

Covariant forms of Lax one-field operators: from Abelian to non-commutative; S. Leble.

On the Dirichlet boundary problem and Hirota equations; A. Marshakov, A. Zabrodin.

Functional-difference deformations of Darboux-Pöshl-Teller potentials; V.B. Matveev.

Maxwell equations for quantum space-time; R.M. Mir-Kasmov.

A solvable model of interacting photons; J. Naudts.

Discretization of a Sine-Gordon type equation; Y. Ohta.

Hierarchy of quantum explicitly solvable and integrable models; A.K. Pogrebkov.

A two-parameter elliptic extension of the lattice KDV system; S.E. Puttock, F.W. Nijhoff.

Travelling waves in a perturbed discrete Sine-Gordon equation; V.M. Rothos, M. Feckan.

Quantum VS classical Calogero-Moser systems; R. Sasaki.

Geometrical dynamics of an integrable piecewise-linear mapping; D. Takahashi, M. Iwao.

Free bosons and dispersionless limit of Hirota tau-function; L.A. Takhtajan.

Similarity reductions of Hirota bilinear equations and Painlevé equations; K.M. Tamizhmani et al.

On fundamental cycle of periodic Box-Ball systems; T. Tokihiro.

Combinatorics and integrable geometry; P. van Moerbeke.

On reductions of some KDV-type systems and their link to the quartic Hénon-Heiles Hamiltonian; C. Verhoeven et al.

On the bilinear forms of Painlevé’s 4th equation; R. Willox, J. Hietarinta.

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