SIDE III

"Strongly recommend this volume to all libraries of research institutions and to mathematicians with an interest

• Billiard weak solutions of nonlinear PDE's and Toda flows by M. S. Alber, R. Camassa, and M. Gekhtman Fourier-Gauss transforms of some $q$-spectral functions by N. M. Atakishiyev Integrable differential-difference systems in (2 + 1)-dimensions and their Hamiltonian structure by M. Blaszak and A. Szum Mobius invariant integrable lattice equations associated with the generalized KP hierarchy by L. V. Bogdanov and B. G. Konopelchenko Wave soliton solutions on a generic background for KPI equation by M. Boiti, F. Pempinelli, A. K. Pogrebkov, and B. Prinari Difference and differential equations and convergence acceleration algorithms by C. Brezinski On the dynamics of rational solutions for 1-D Volterra system by A. S. Carstea Monodromy data for the discrete first Painleve hierarchy by C. Cresswell Differential identities, generalized polynomials and applications in physics and mathematics by G. Dattoli Lattice geometry of the Hirota equation by A. Doliwa Integrable discrete geometry: The quadrilateral lattice, its transformations and reductions by A. Doliwa and P. M. Santini On the Kleinian construction of abelian functions of canonical algebraic curves by J. C. Eilbeck, V. Z. Enolskii, and D. V. Leykin Discrete equations and the singular manifold method by P. G. Estevez and P. A. Clarkson Discrete versions of some algebraic integrable systems related to generalized Jacobians by Yu. Fedorov New potential symmetries by M. L. Gandarias Symmetry classification of systems of differential-difference equations by D. G.-U. Oteiza, S. Lafortune, and P. Winternitz Integrable boundary conditions for nonlinear lattices by I. T. Habibullin and A. N. Vil'danov Modular invariants and generalized Halphen systems by J. Harnad and J. McKay Symmetry preserving discretization of the Burgers equation by R. H. Heredero, D. Levi, and P. Winternitz Singularity confinement and degree growth by J. Hietarinta and C. Viallet Time-discretization of soliton equations by R. Hirota and M. Iwao Backlund transformations for the Henon-Heiles and Garnier systems by A. N. W. Hone, V. B. Kuznetsov, and O. Ragnisco Irregular singular behaviour in the first discrete Painleve equation by N. Joshi Rational and special solutions of the $P_{\mathrm{II}}$ hierarchy by N. A. Kudryashov and A. Pickering Linearisable systems and the Gambier approach by S. Lafortune, B. Grammaticos, and A. Ramani Difference equations of Poincare-Perron type and central two-point connection problems by W. Lay Self-similarity in spectral problems and $q$-special functions by I. Loutsenko and V. Spiridonov Lie point symmetries of discrete and continual SU($\infty$) Toda field theory by L. Martina A note on integrable systems related to discrete time Toda lattice by K.-i. Maruno, K. Kajiwara, and M. Oikawa The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with $U_q(\widehat{sl}_n)$ for $|q| = 1$ by T. Miwa and Y. Takeyama Symmetries of the discrete Schrodinger equation and its quantum deformations by L. M. Nieto, J. Negro, F. J. Herranz, and A. Ballesteros Determinant and Pfaffian solutions for discrete soliton equations by Y. Ohta Difference isomonodromy problems and discrete Painleve equations by V. G. Papageorgiou Discrete equations of motion for $A_{k-1}$ algebra by A. P. Protogenov and V. A. Verbus Discrete Painleve equations from nonisospectral soliton equations by G. R. W. Quispel and D. Levi A study of the continuous and discrete Gambier systems by A. Ramani, B. Grammaticos, and S. Lafortune Discrete surfaces of revolution by W. K. Schief and B. G. Konopelchenko Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations by M. Senthilvelan Different faces of harmonic oscillator by A. Turbiner Nonsymmetric linear difference equations for multiple orthogonal polynomials by W. Van Assche Asymptotics for solution to the Cauchy problem for Volterra lattice with step-like initial values by V. L. Vereschagin Complexity and integrability by C. Viallet.