Direct reduction and differential constraints

Peter J. Olver

Research output: Contribution to journalArticlepeer-review

129 Scopus citations


Direct reductions of partial differential equations to systems of ordinary differential equations are in one-to-one correspondence with compatible differential constraints. The differential constraint method is applied to prove that a parabolic evolution equation admits infinitely many characteristic second order reductions, but admits a non-characteristic second order reduction if and only if it is linearizable.

Original languageEnglish (US)
Pages (from-to)509-523
Number of pages15
JournalProceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
Issue number1922
StatePublished - Mar 8 1994


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