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Author Bluman, George W., 1943-

Title Applications of symmetry methods to partial differential equations / George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco
Published New York : Springer, ©2010


Description 1 online resource (xix, 398 pages) : illustrations
Series Applied mathematical sciences, 0066-5452 ; v. 168
Applied mathematical sciences (Springer-Verlag 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, 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
Bibliography Includes bibliographical references (pages 369-381) and indexes
Notes Print version record
Subject Differential equations, Partial -- Numerical solutions.
Differential equations -- Numerical solutions.
Symmetry (Physics)
Ecuaciones en derivadas parciales -- Soluciones numéricas
Simetría (Física)
Differential equations -- Numerical solutions
Differential equations, Partial -- Numerical solutions
Symmetry (Physics)
Form Electronic book
Author Cheviakov, Alexei F., 1977-
Anco, Stephen C.
ISBN 9780387680286