Authors:
- Comprehensive introduction to each chapter
- Discussions section at the end of each chapter
- Comprehensive indexes to guide the reader
- Many examples and exercises
Part of the book series: Applied Mathematical Sciences (AMS, volume 168)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
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)Authors and Affiliations
-
Dept. Mathematics, University of British Columbia, Vancouver, Canada
George W. Bluman, Alexei F. Cheviakov
-
Dept. Mathematics, Brock University, St. Catharines, Canada
Stephen C. Anco
Bibliographic Information
Book Title: Applications of Symmetry Methods to Partial Differential Equations
Authors: George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-0-387-68028-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2010
Hardcover ISBN: 978-0-387-98612-8Published: 19 November 2009
Softcover ISBN: 978-1-4614-2498-7Published: 03 March 2012
eBook ISBN: 978-0-387-68028-6Published: 30 October 2009
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XVIII, 398
Topics: Topological Groups, Lie Groups, Analysis