Algorithms for Differential Invariants of Symmetry Groups of Differential Equations |
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| Authors: | Jeongoo Cheh Peter J Olver Juha Pohjanpelto |
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| Institution: | (1) Department of Mathematics, University of St. Thomas, St. Paul, MN 55105, USA;(2) School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA;(3) Department of Mathematics, Oregon State University, Corvallis, OR 97331, USA |
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| Abstract: | We develop new computational algorithms, based on the method of equivariant moving frames, for classifying the differential
invariants of Lie symmetry pseudo-groups of differential equations and analyzing the structure of the induced differential
invariant algebra. The Korteweg-deVries (KdV) and Kadomtsev-Petviashvili (KP) equations serve to illustrate examples. In particular,
we deduce the first complete classification of the differential invariants and their syzygies of the KP symmetry pseudo-group. |
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