Applications of Symmetry Methods to Partial Differential Equations

George W. Bluman

ISBN 10: 1461424984 / ISBN 13: 9781461424987

Editore: Springer New York Mrz 2012, 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 420 pp. Englisch. Codice articolo 9781461424987

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Titolo: Applications of Symmetry Methods to Partial ...

Casa editrice: Springer New York Mrz 2012

Data di pubblicazione: 2012

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

This is an accessible text on the advanced symmetry methods for differential equations. Topics covered include conservation laws, Lie-Backlund symmetries, contact transformations, nonlocal symmetries, nonlocal mappings and non-classical method.

Recensione:

From the reviews:

“The book contains a wealth of practically relevant examples as well as numerous exercises to allow the reader to gain a working knowledge of advanced symmetry methods. Each chapter concludes with a discussion that provides helpful connections to the journal literature (collected in an extensive list of references). This book is carefully written and provides an excellent overview of this highly active branch of applied mathematics. Like its predecessors, it will be a standard reference in the field for years to come.” (Michael Kunzinger, Mathematical Reviews, Issue 2011 d)