Description 
1 online resource (xix, 398 pages) : illustrations 
Series 
Applied mathematical sciences, 00665452 ; v. 168 

Applied mathematical sciences (SpringerVerlag New York Inc.) ; v. 168

Contents 
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 
Summary 
This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higherorder 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 
Bibliography 
Includes bibliographical references (pages 369381) and indexes 
Notes 
Print version record 
Subject 
Differential equations, Partial  Numerical solutions.


Differential equations  Numerical solutions.


Symmetry (Physics)

Form 
Electronic book

Author 
Cheviakov, Alexei F., 1977


Anco, Stephen C.

LC no. 
2009937642 
ISBN 
0387680284 (eisbn) 

9780387680286 (eisbn) 
