Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences, 168)

Bluman, George W.; Cheviakov, Alexei F.; Anco, Stephen

ISBN 10: 038798612X / ISBN 13: 9780387986128

Editore: Springer, 2009

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Dati bibliografici

• Titolo: Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences, 168)
• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 038798612X
• ISBN 13: 9780387986128
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

Dalla quarta di copertina

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.