1301.3567 (Stefan C. Mancas et al.)

Ermakov-Pinney equations with Abel-induced dissipation    [PDF]

Stefan C. Mancas, Haret C. Rosu

We introduce a dissipative Ermakov-Pinney system with the dissipation based on the corresponding integrable Abel equation. Then, based on a particular solution, we construct the general solution to dissipative Ermakov-Pinney equations of this type, including the cases of higher-order nonlinearities, by using the Ermakov invariant of the system

View original: http://arxiv.org/abs/1301.3567