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

Applications of Symmetry Methods to Partial Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

This is an accessible book on the advanced symmetry methods for differential equations. It will include chapters on subjects such 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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 398
• Erscheinungstermin: 30. Oktober 2009
• Englisch
• ISBN-13: 9780387680286
• Artikelnr.: 37286787

Inhaltsangabe

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.

Rezensionen

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)