Abstract
In this paper we characterize the possible symmetry groups of wave equations and certain evolutionary generalizations, in a single time variable and one or more spatial variables. Furthermore, we describe a complete classification of two-dimensional wave equations utt = F[u] and potential evolutionary equations uxt = F[u] having a point or contact symmetry group. The results rely on Lie's classification of planar transformation groups and their relative differential invariants.
Original language | English (US) |
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Pages (from-to) | 6414-6438 |
Number of pages | 25 |
Journal | Journal of Mathematical Physics |
Volume | 37 |
Issue number | 12 |
DOIs | |
State | Published - Dec 1996 |