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 PAINLEV 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 NONCOMMUTATIVE -- ON THE DIRICHLET BOUNDARY PROBLEM AND HIROTA EQUATIONS -- FUNCTIONAL-DIFFERENCE DEFORMATIONS OF DARBOUX-P ÖSHL-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 -- TRAVELLINGWAVES 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 PAINLEVé'S 4TH EQUATION.