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Referencias:

• Conte, R., (1999) The Painlevé Property: One Century Later, , (ed), Springer, New York:
• Clarkson, P.A., Painlevé equations. Nonlinear special functions (2003) J. Comput. Appl. Math., 153, pp. 127-140
• Ray, J.R., Nonlinear superposition law for generalised Ermakov systems (1980) Phys. Lett. A, 78, pp. 4-6
• Reid, J.L., Ray, J.R., Ermakov systems, nonlinear superposition and solution of nonlinear equations of motion (1980) J. Math. Phys., 21, pp. 1583-1587
• Rogers, C., Hoenselaers, C., Ray, J.R., On 2+1-dimensional Ermakov systems (1993) J. Phys. A Math. Gen., 26, pp. 2625-2633
• Rogers, C., Schief, W.K., Multi-component Ermakov systems: structure and linearization (1996) J. Math. Anal. Appl., 198, pp. 194-220
• Schief, W.K., Rogers, C., Bassom, A.P., Ermakov systems with arbitrary order and dimension: structure and linearization (1996) J. Phys. A Math. Gen., 29, pp. 903-911
• Goncharenko, A.M., Logvin, Y.A., Samson, A.M., Shapovalov, P.S., Turovets, S.I., Ermakov Hamiltonian systems in nonlinear optics of elliptic Gaussian beams (1991) Phys. Lett. A, 160, pp. 138-142
• Rogers, C., An, H., Ermakov–Ray–Reid systems in 2+1-dimensional rotating shallow water theory (2010) Stud. Appl. Math., 125, pp. 275-299
• Rogers, C., Malomed, B., Chow, K.W., An, H., Ermakov–Ray–Reid systems in nonlinear optics (2010) J. Phys. A Math. Theor., 43, p. 455214
• Rogers, C., Schief, W.K., The pulsrodon in 2+1-dimensional magnetogasdynamics. Hamiltonian–Ermakov reduction (2011) J. Math. Phys., 52, p. 083701
• Rogers, C., Schief, W.K., On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system (2011) Nonlinearity, 24, pp. 3165-3178
• Rogers, C., Malomed, B., An, H., Ermakov–Ray–Reid reductions of variational approximations in nonlinear optics (2012) Stud. Appl. Math., 129, pp. 389-413
• Schief, W.K., An, H., Rogers, C., Universal and integrable aspects of an elliptic vortex representation in 2+1-dimensional magnetogasdynamics (2013) Stud. Appl. Math., 130, pp. 49-79
• Athorne, C., Rogers, C., Ramgulam, U., Osbaldestin, A., On linearisation of the Ermakov system (1990) Phys. Lett. A, 143, pp. 207-212
• Rogers, C., On a coupled nonlinear Schrödinger system. A Ermakov connection (2014) Stud. Appl. Math, 132 (3), pp. 247-265
• Mariani, M.C., Amster, P., Rogers, C., Dirichlet and periodic-type boundary value problems for Painlevé II (2002) J. Math. Anal. Appl., 265, pp. 1-11
• Amster, P., Mariani, M.C., Rogers, C., Tisdell, C.C., On two-point boundary value problems in multi-ion electrodiffusion (2004) J. Math. Anal. Appl., 289, pp. 712-721
• Amster, P., Kwong, M.K., Rogers, C., On a Neumann boundary value problem for the Painlevé II equation in two-ion electrodiffusion (2011) Nonlinear Anal., 74, pp. 2897-2907
• Amster, P., Kwong, M.K., Rogers, C., A Neumann boundary value problem in two-ion electrodiffusion with unequal valencies (2012) Discrete Contin. Dyn. Syst., 17, pp. 2299-2311
• Amster, P., Kwong, M.K., Rogers, C., A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions (2014) Nonlinear Anal. Real World Appl., 16, pp. 120-131
• Rogers, C., Hybrid Ermakov–Painlevé IV systems (2014) Submitted
• Bassom, A.P., Clarkson, P.A., Hicks, A.C., Mcleod, J.B., Integral relations and exact solutions for the fourth Painlevé equation (1992) Proc. R. Soc. Lond. A, 437, pp. 1-24
• Bassom, A.P., Clarkson, P.A., Hicks, A.C., Bäcklund transformations and solution hierarchies for the fourth Painlevé equation (1995) Stud. Appl. Math., 95, pp. 1-71
• Amster, P., Rogers, C., On a Ermakov–Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem (2014) Submitted
• Gromak, V.I., Conte, R., Bäcklund transformations of Painlevé equations and their applications (1999) The Painlevé Property. One Century Later. CRM Series in Mathematical Physics, pp. 687-734. , Springer, New York:

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