Further Applications of Symmetry Methods: Miscellaneous Extensions

  • George W. Bluman
  • Alexei F. Cheviakov
  • Stephen C. Anco
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 168)

Abstract

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.

Keywords

Point Symmetry Local Symmetry Determine Equation Invariant Solution Potential System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York 2010

Authors and Affiliations

  • George W. Bluman
    • 1
  • Alexei F. Cheviakov
    • 2
  • Stephen C. Anco
    • 3
  1. 1.Department of MathematicsThe University of British ColumbiaVancouverCanada
  2. 2.Department of Mathematics and StatisticsUniversity of SaskatchewanSaskatoonCanada
  3. 3.Department of MathematicsBrock UniversitySt. CatharinesCanada

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