ENGLISH

Applications of Symmetry Methods to Partial Differential Equations

By George W. Bluman , Alexei F. Cheviakov , Stephen C. Anco (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2010
ISBN
9780387986128, 038798612X
DOI
10.1007/978-0-387-68028-6
Open Library ID
OL10155976M
Language
english
Format
PDF
Filesize
3 MB (3582415 bytes)
Series
Applied Mathematical Sciences 168
Edition
1
Pages
398\415
Library
torrents.ru tech collections 2009-11-14
Scanned
yes
Time added
2010-01-11 02:35:34
Lie Groups; AnalysisTopological Groups

Description

This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noether’s theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful. This book is a sequel to Symmetry and Integration Methods for Differential Equations (2002) by George W. Bluman and Stephen C. Anco. The emphasis in the present book is on how to find systematically symmetries (local and nonlocal) and conservation laws (local and nonlocal) of a given PDE system and how to use systematically symmetries and conservation laws for related applications.

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