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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag New York
About this chapter
Cite this chapter
Bluman, G.W., Cheviakov, A.F., Anco, S.C. (2010). Further Applications of Symmetry Methods: Miscellaneous Extensions. In: Applications of Symmetry Methods to Partial Differential Equations. Applied Mathematical Sciences, vol 168. Springer, New York, NY. https://doi.org/10.1007/978-0-387-68028-6_5
Download citation
DOI: https://doi.org/10.1007/978-0-387-68028-6_5
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98612-8
Online ISBN: 978-0-387-68028-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)