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 language | English |
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Pages (from-to) | 69-78 |
Number of pages | 10 |
Journal | Letters in Mathematical Physics |
Volume | 8 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1984 |
Externally published | Yes |