Classification of invariant wave equations

Rafael Hernández Heredero, Peter J. Olver

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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 languageEnglish (US)
Pages (from-to)6414-6438
Number of pages25
JournalJournal of Mathematical Physics
Issue number12
StatePublished - Dec 1996


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