Applied Mathematical Sciences

Applications of Symmetry Methods to Partial Differential Equations

Authors: Bluman, George, Cheviakov, Alexei, Anco, Stephen

  • Comprehensive introduction to each chapter
  • Discussions section at the end of each chapter
  • Comprehensive indexes to guide the reader
  • Many examples and exercises
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eBook $149.00
price for USA (gross)
  • ISBN 978-0-387-68028-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-387-98612-8
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  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
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  • ISBN 978-1-4614-2498-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

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)

Table of contents (5 chapters)

  • Local Transformations and Conservation Laws

    Bluman, George W. (et al.)

    Pages 1-120

  • Construction of Mappings Relating Differential Equations

    Bluman, George W. (et al.)

    Pages 121-186

  • Nonlocally Related PDE Systems

    Bluman, George W. (et al.)

    Pages 187-244

  • Applications of Nonlocally Related PDE Systems

    Bluman, George W. (et al.)

    Pages 245-296

  • Further Applications of Symmetry Methods: Miscellaneous Extensions

    Bluman, George W. (et al.)

    Pages 297-367

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-387-68028-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-387-98612-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-1-4614-2498-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applications of Symmetry Methods to Partial Differential Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
168
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-68028-6
DOI
10.1007/978-0-387-68028-6
Hardcover ISBN
978-0-387-98612-8
Softcover ISBN
978-1-4614-2498-7
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XVIII, 398
Topics