TY  - GEN
AU  - Hydon, Peter E.
TI  - Symmetry methods for differential equations: a beginner's guide 
SN  - 9780521497862
U1  - 530.15535 
PY  - 2000///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematical physics
KW  - Differential equations--Numerical solutions
KW  - Symmetry
KW  - Applied Physicists
KW  - Engineers
N1  - Includes bibliography and index
N2  - Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.

cambridge.org/core/books/symmetry-methods-for-differential-equations/805DEEB7D5D0D2040A3A8444B1C8A33E#fndtn-information
ER  -