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The natural extension to PDEs of Lie's reduction of order algorithm for ODEs
- Publication Year :
- 2024
-
Abstract
- In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural extension of Lie's reduction of order algorithm for ordinary differential equations by looking at this algorithm from a different point of view. Many examples exhibit various situations that can arise.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.09063
- Document Type :
- Working Paper