Lotka--Volterra Type Equations and their Explicit Integration
Jean-Loup Gervais, Mikhail V. Saveliev
Abstract
In the present note we give an explicit integration of some two--dimensionalised Lotka--Volterra type equations associated with simple Lie algebras, other than the familiar An case, possessing a representation without branching. This allows us, in particular, to treat the first fundamental representations of Ar, Br, Cr, and G2 on the same footing.
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