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Published in:
2010 | OriginalPaper | Chapter
Further Applications of Symmetry Methods: Miscellaneous Extensions
Authors : George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco
Published in: Applications of Symmetry Methods to Partial Differential Equations
Publisher: Springer New York
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In this chapter, we consider three further topics on symmetry methods for PDEs. In particular, it is shown how symmetry methods can be used and further adapted to systematically construct particular solutions of a PDE system, how to find nonlocally-related systems that could yield nonlocal symmetries and/or nonlocal conservation laws in the case of a PDE system with three or more independent variables, and how to find local symmetries and local conservation laws through symbolic manipulation software.