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An embedding technique for the solution of coupled Riccati equations

P Enders and O Schmidtmann

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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.


PACS

02.10.De Algebraic structures and number theory

02.30.Hq Ordinary differential equations

02.10.Yn Matrix theory

MSC

15A24 Matrix equations and identities

15A18 Eigenvalues, singular values, and eigenvectors

Subjects

Mathematical physics

Dates

Issue 7 (7 April 1992)



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