George Bluman & Stephen Ancoet al. : Symmetry and Integration Methods for Differential Equations

This book provides a comprehensive treatment of basic symmetry and integration methods that are essential for obtaining explicit analytical results for ordinary and partial differential equations. Emphasis is given to a presentation of algorithmic, computational approaches for finding symmetries and first integrals, as well as for constructing invariant solutions. Exercises are included throughout and numerous examples taken from physical and engineering problems in applied mathematics are used for illustration.