Abstract. A new method of solving analytically coupled Riccati equations by means of embedding them into a matrix Riccati equation is proposed. This process imposes certain conditions onto the coefficients of the original equations. Whenever it is impossible to match these requirements, the calculation of less demanding invariants is discussed. The algebraic structure of these is simple enough to be practically used for lowering the system's dimension. In general, the newly soluble equations do not possess the Painleve property.

Print publication: Issue 7 (7 April 1992)