Preface The Authors A1.Systems of nonlinearly-coupled differential equations solvable by algebraic operations F Calogero 1.Introduction 2.The main idea and some key identities 3.Two examples of systems of nonlinearly-coupled ODEs solvable by algebraic operations 4.A differential algorithm to evaluate all the zeros of a generic polynomial of arbitrary degree 5.Extensions A2.Integrable nonlinear PDEs on the half-line A S Fokas and B Pelloni 1.Introduction 2.Transforms and Riemann-Hilbert problems 3.The structure of integrable PDEs：Lax pair formulation 4.An integral transform for nonlinear boundary value problems 5.Further considerations A3.Detecting discrete integrability：the singularity approach B Grammaticos，A Ramani，R Willox and T Mase 1.Introduction 2.Singularity confinement 3.The full-deautonomisation approach 4.Halburd's exact calculation of the degree growth 5.Singularities and spaces of initial conditions A4.Elementary introduction to discrete soliton equations J Hietarinta 1.Introduction 2.Basic set-up for lattice equations 3.Symmetries and hierarchies 4.Lax pairs 5.Continuum limits 6.Discretizing a continuous equation 7.Integrability test 8.Summary A5.New results on integrability of the Kahan-Hirota-Kimura discretizations Yu B Suris and M Petrera 1.Introduction 2.General properties of the Kahan-Hirota-Kimura discretization 3.Novel observations and results 4.The general Clebsch flow 5.The first Clebsch flow 6.The Kirchhoff case 7.Lagrange top 8.Concluding remarks B1.Dynamical systems and isospectral matrices defined in terms of the zeros of orthogonal or otherwise special polynomial O Bihun 1.Introduction 2.Zeros of generalized hypergeometric polynomial with two parameters and zeros of Jacobi polynomials 3.Zeros of generalized hypergeometric polynomials 4.Zeros of generalized basic hypergeometric polynomials 5.Zeros of Wilson and Racah polynomials
6.Zeros of Askey-Wilson and q-Racah polynomials ……
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