Applications of Lie groups to differential equations

The book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice, including determination of symmetry groups, integration of ordinary differential equations, construction of group-invariant solutions to prartial different...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Peter J Olver
Fformat: Llyfr
Iaith:Undetermined
Cyhoeddwyd: New York Springer-Verlag 1996
Pynciau:
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Disgrifiad
Crynodeb:The book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice, including determination of symmetry groups, integration of ordinary differential equations, construction of group-invariant solutions to prartial differential equations, symmetries and conservation laws, generalized symmetries, and symmetry methods in Hamiltonian systems. Following an exposition of the applications, the book develops underlying theory. Many topics are presented in a novel way, with an emphasis on explicit and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter