Advanced Symmetry Method Differential Equations (Applied Mathematical Sciences)
Publisher: Springer
Published: October 19, 2007
Language: eng
Format: Hardcover
Number of pages: 355
ISBN-13: 9780387986128
Subjects: Symmetry (Physics); Science; Mathematics; Science/Mathematics; Group Theory; Mathematical Analysis; Physics; Differential Equations; Numerical solutions
Description: 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.