The complete symmetry group of the generalised hyperladder problem
Tài liệu tham khảo
Andriopoulos, 2001, Complete symmetry groups of ordinary differential equations and their integrals: some basic considerations, J. Math. Anal. Appl., 262, 256, 10.1006/jmaa.2001.7570
Andriopoulos, 2002, The economy of complete symmetry groups for linear higher dimensional systems, J. Nonlinear Math. Phys., 9, 10, 10.2991/jnmp.2002.9.s2.2
Andriopoulos, 2003, The ladder problem: Painlevé integrability and explicit solution, J. Phys. A, 36, 11257, 10.1088/0305-4470/36/44/006
K. Andriopoulos, P.G.L. Leach, Decomposition of the scalar autonomous Riccati equation, GEODYSYC, School of Sciences, University of the Aegean, Karlovassi 83 200, Greece, Preprint, 2003
Hirata, 2002, A necessary condition for existence of Lie symmetries in general systems of ordinary differential equations, J. Phys. Soc. Japan, 71, 2396, 10.1143/JPSJ.71.2396
Imai
Krause, 1994, On the complete symmetry group of the classical Kepler system, J. Math. Phys., 35, 5734, 10.1063/1.530708
Krause, 1995, On the complete symmetry group of the Kepler problem, 286
Leach, 2001, Symmetry, singularities and integrability in complex dynamics V: Complete symmetry groups of nonintegrable ordinary differential equations, J. Nonlinear Math. Phys., 8, 475, 10.2991/jnmp.2001.8.4.4
Leach, 2003, Complete symmetry groups, the Kepler problem and generalisations, South African J. Sci., 99, 209
Leach, 2003, The Ermanno–Bernoulli constants and representations of the complete symmetry group of the Kepler problem, J. Math. Phys., 44, 4090, 10.1063/1.1576903