Applications of symmetry methods to partial differential equations / George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco.

Author
Bluman, George W., 1943- [Browse]
Format
Book
Language
English
Published/​Created
New York : Springer, c2010.
Description
xix, 398 p. : ill. ; 24 cm.

Details

Subject(s)
Series
  • Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 168. [More in this series]
  • Applied mathematical sciences, 0066-5452 ; 168
Summary note
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.
Bibliographic references
Includes bibliographical references (p. 369-381) and indexes.
Action note
Committed to retain in perpetuity — ReCAP Shared Collection (HUL)
Contents
  • 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.
ISBN
  • 9780387986128 (hbk)
  • 038798612X (hbk)
LCCN
^^2009937642
OCLC
495771242
RCP
H - S
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