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＜電子ブック＞
Applications of Symmetry Methods to Partial Differential Equations / by George W. Bluman, Alexei F. Cheviakov, Stephen Anco
(Applied Mathematical Sciences. ISSN:2196968X ; 168)

版	1st ed. 2010.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	XVIII, 398 p : online resource
著者標目	*Bluman, George W author Cheviakov, Alexei F author Anco, Stephen author SpringerLink (Online service)
件　名	LCSH:Topological groups LCSH:Lie groups LCSH:Mathematical analysis FREE:Topological Groups and Lie Groups FREE:Analysis
一般注記	Local Transformations and Conservation Laws -- Construction of Mappings Relating Differential Equations -- Nonlocally Related PDE Systems -- Applications of Nonlocally Related PDE Systems -- Further Applications of Symmetry Methods: Miscellaneous Extensions 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 HTTP:URL=https://doi.org/10.1007/978-0-387-68028-6

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