TY - GEN digital ID - 131714446 TI - Applications of Symmetry Methods to Partial Differential Equations AU - Bluman, George W. AU - Cheviakov, Alexei F. AU - Anco, Stephen PY - 2010 SN - 9780387680286 9780387571935 9780387986128 9781461424987 PB - New York, NY Springer DB - UniCat KW - Ordered algebraic structures KW - Topological groups. Lie groups KW - Mathematical analysis KW - Mathematics KW - analyse (wiskunde) KW - topologie (wiskunde) KW - wiskunde KW - topologie UR - https://www.unicat.be/uniCat?func=search&query=sysid:131714446 AB - 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. ER -