Symmetries and integrability of difference equations / edited by Peter A. Clarkson, Frank W. Nijhoff.

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Partial Difference Equations. Discrete linearisable Gambier equations / A.K. Common, E. Hesameddini and M. Musette. Generalized Backlund transformation and new explicit solutions of the two-dimensional Toda equation / X.-B. Hu and P.A. Clarkson. Different aspects of relativistic Toda chain / S. Kharchev, A. Mironov and A. Zhedanov -- 2. Integrable Mappings. Integrable symplectic maps / A.P. Fordy. An iterative process on quartics and integrable symplectic maps / J.P. Francoise and O. Ragnisco. Integrable mappings of KdV type and hyperelliptic addition formulae / F.W. Nijhoff and V.Z. Enolskii. R-matrix hierarchies, integrable lattice systems and their integrable discretizations / Yu. B. Suris -- 3. Discrete Geometry.

There has in recent years been a remarkable growth of interest in the area of discrete integrable systems. Much progress has been made by applying symmetry groups to the study of differential equations, and connections have been made to other topics such as numerical methods, cellular automata and mathematical physics. This volume comprises state of the art articles from almost all the leading workers in this important and rapidly developing area, making it a necessary resource for all researchers interested in discrete integrable systems or related subjects.