Extensions of the MapDE algorithm for mappings relating differential equations

30 Dec 2019 Mohammadi Zahra. Reid Gregory J. Huang S. -L. Tracy

This paper is a sequel of our previous work in which we introduced the MapDE algorithm to determine the existence of analytic invertible mappings of an input (source) differential polynomial system (DPS) to a specific target DPS, and sometimes by heuristic integration an explicit form of the mapping. A particular feature was to exploit the Lie symmetry invariance algebra of the source, without integrating its equations, to facilitate MapDE, making algorithmic an approach initiated by Bluman and Kumei... (read more)

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  • ANALYSIS OF PDES