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

Bluman, George; Cheviakov, Alexei; Anco, Stephen

ISBN 10: 1461424984 / ISBN 13: 9781461424987

Published by U.S.A.: Springer, 2012

About this Item

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Bibliographic Details

• Title: Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences) (Volume 168)
• Publisher: U.S.A.: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 1461424984
• ISBN 13: 9781461424987
• Binding: Soft cover
• Edition: 1st Edition
• Condition: New
• Dust Jacket Condition: New

About this title

Synopsis

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.

From the Back Cover

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.