P Enders and O Schmidtmann 1992 J. Phys. A: Math. Gen. 25 1981 doi:10.1088/0305-4470/25/7/036
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.
02.10.De Algebraic structures and number theory
Issue 7 (7 April 1992)
P Enders and O Schmidtmann 1992 J. Phys. A: Math. Gen. 25 1981
Garry Ludwig and S Brian Edgar 2000 Class. Quantum Grav. 17 1683
F Aumayr et al 1987 J. Phys. B: At. Mol. Phys. 20 2025
K G Dyall 1985 J. Phys. B: At. Mol. Phys. 18 L175
J Boersma and M L Glasser 2005 J. Phys. A: Math. Gen. 38 1687
Keye Martin 2006 Class. Quantum Grav. 23 1241
Helmut Friedrich 2003 Class. Quantum Grav. 20 101
H Hsiu et al 2006 Physiol. Meas. 27 131
Brian R Hunt and Vadim Yu Kaloshin 1999 Nonlinearity 12 1263
Tan Ning et al 2002 Chinese Phys. 11 670