P Enders and O Schmidtmann 1992 J. Phys. A: Math. Gen. 25 1981 doi:10.1088/0305-4470/25/7/036
An embedding technique for the solution of coupled Riccati equations
P Enders and O Schmidtmann
Show affiliationsA 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
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02.10.De Algebraic structures and number theory
- MSC
- Subjects
- Dates
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Issue 7 (7 April 1992)
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An embedding technique for the solution of coupled Riccati equations
P Enders and O Schmidtmann 1992 J. Phys. A: Math. Gen. 25 1981
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