A comprehensive introduction to the applications of symmetry analysis to differential equations. These applications, emerged from discoveries by Sophus Lie, can be used to find exact solutions and to verify and develop numerical schemes. The book includes both theoretical considerations and practical applications of use to physicists, chemists, mathematicians and engineers. There is a CD-ROM included with examples.
The original installation instructions for the MathLie packages on the accompanying CD-ROM were found to have some problems for certain platforms. The electronic supplement by Eric Bynum and Gerd Baumann contains revised instructions that include more specific instructions for each of the major platforms and clear up some confusing sections of the original documentation. Contents
Introduction | Elements of Symmetry Analysis | Derivatives | Symmetries of Ordinary Differential Equations | Point Symmetries of Partial Differential Equations | Non-Classical Symmetries of Partial Differential Equations | Potential Symmetries of Partial Differential Equations | Approximate Symmetries of Partial Differential Equations | Generalized Symmetries | Solution of Coupled Linear Partial Differential Equations | Appendix Related Topics