Further Applications of Symmetry Methods: Miscellaneous Extensions

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


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.


Point Symmetry Local Symmetry Determine Equation Invariant Solution Potential System 
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Copyright information

© Springer-Verlag New York 2010

Authors and Affiliations

  • George W. Bluman
    • 1
    Email author
  • 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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