Dewey Class |
512.55 |
Title |
Applications of Symmetry Methods to Partial Differential Equations (EB) / by George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco. |
Author |
Bluman, George W. , 1943- |
Added Personal Name |
Cheviakov, Alexei F. |
Anco, Stephen C. |
Other name(s) |
SpringerLink (Online service) |
Publication |
New York, NY : Springer , 2010. |
Physical Details |
XVIII, 398 pages : online resource. |
Series |
Applied mathematical sciences 0066-5452 ; ; 168 |
ISBN |
9780387680286 |
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," Noetherâs 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.: |
Contents note |
Introduction -- Construction of Mappings Relating Differential Equations -- Nonlocally Related PDE Systems -- Applications of Nonlocally Related PDE Systems -- Further Applications of Symmetry Methods: Miscellaneous Extensions -- References -- Theorem, Corollary and Lemma Index -- Author Index -- Subject Index. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org/10.1007/978-0-387-68028-6 |
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