This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

Inhalt

Introduction Dimensional Analysis, Modeling, and Invariance Lie Groups of Transformations and Infinitesimal Transformations Ordinary Differential Equations (ODEs) Partial Differential Equations (PDEs) References Author Index * Subject Index