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...

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Библиографические подробности
Главный автор: Peter J Olver
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Язык:Undetermined
Опубликовано: New York Springer-Verlag 1996
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
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100 |a Peter J Olver 
245 0 |a Applications of Lie groups to differential equations 
245 0 |c Peter J Olver 
260 |a New York 
260 |b Springer-Verlag 
260 |c 1996 
520 |a 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 
650 |a differential equations,lie groups 
904 |i Minh, 971015 
980 |a Trung tâm Học liệu Trường Đại học Cần Thơ