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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.
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Previews available in: English
Subjects
Differential equations, Partial Differential equations, Symmetry (Physics), Numerical solutions, Lie-Gruppe, Numerisches Verfahren, Partielle Differentialgleichung, Differential equations, numerical solutions, Symmetry, Mathematical physics, Global analysis (Mathematics), Mathematics, Topological GroupsEdition | Availability |
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Advanced Symmetry Method Differential Equations (Applied Mathematical Sciences)
October 19, 2007, Springer
Hardcover
in English
038798612X 9780387986128
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