Algorithms for differential invariants of symmetry groups of differential equations

作者：Cheh Jeongoo^*; Olver Peter J; Pohjanpelto Juha

来源：Foundations of Computational Mathematics, 2008, 8(4): 501-532.

DOI：10.1007/s10208-005-0206-x

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.

• 出版日期2008-8