Applications of Symmetry Methods to Partial Differential Equations

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 syst...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bluman, George W. (Autor), Cheviakov, Alexei F. (Autor), Anco, Stephen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Applied Mathematical Sciences, 168
Temas:
Topological groups.
Lie groups.
Mathematical analysis.
Topological Groups and Lie Groups.
Analysis.
Acceso en línea:Texto Completo

MARC

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100 1 |a Bluman, George W.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Applications of Symmetry Methods to Partial Differential Equations  |h [electronic resource] /  |c by George W. Bluman, Alexei F. Cheviakov, Stephen Anco. 
250 |a 1st ed. 2010. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2010. 
300 |a XVIII, 398 p.  |b online resource. 
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490 1 |a Applied Mathematical Sciences,  |x 2196-968X ;  |v 168 
505 0 |a 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. 
520 |a 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. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Mathematical analysis. 
650 1 4 |a Topological Groups and Lie Groups. 
650 2 4 |a Analysis. 
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776 0 8 |i Printed edition:  |z 9780387571935 
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830 0 |a Applied Mathematical Sciences,  |x 2196-968X ;  |v 168 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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