Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

This volume contains a selection of papers presented by leading scientists at the workshop on "Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics" held at Catania in Sicily, October 27-31, 1992. The 39 contributions presented embrace the following topics: Classical Lie groups applied to the construction of invariant solutions and conservation laws; conditional (partial) symmetries; Baecklund transformations; approximate symmetries; group analysis of finite-difference equations; problems of group classification and software packages in group analysis. Together this selection of papers provides reviews of many of the exciting developments in this rapidly expanding branch of applied mathematics. This work should appeal to researchers in mathematical physics and applied mathematics whose work involves group analysis and its applications.