
A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented such that graduates and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.
Introduction to Lie Groups.- Symmetry Groups of Differential Equations.- Group-Invariant Solutions.- Symmetry Groups and Conservation Laws.- Generalized Symmetries.- Finite Dimensional Hamiltonian Systems.- Hamiltonian Methods for Evolution Equations.
© 2008-2025 Fundación Dialnet · Todos los derechos reservados