Nonlinear equations with superposition principles and the theory of transitive primitive Lie algebras

S. Shnider, P. Winternitz

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

The classification of systems of nonlinear ordinary differential equations with superposition principles is reduced to a classification of transitive primitive Lie algebras. Each system can be associated with the transitive primitive action of a Lie group G on a homogenous space G/H, where H is a maximal subgroup of G. The equations can have specific polynomial or rational nonlinearities.

Original languageEnglish
Pages (from-to)69-78
Number of pages10
JournalLetters in Mathematical Physics
Volume8
Issue number1
DOIs
StatePublished - Jan 1984
Externally publishedYes

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