Integrable equations with Ermakov–Pinney nonlinearities and Chiellini damping

作者：

Highlights：

• A new type of dissipative Ermakov–Pinney equations are integrable.

• Nonlinear dissipation-gain introduced through the Chiellini integrable Abel equation.

• Higher-order Reid nonlinearities are also considered.

• Ermakov invariant is used in the solution method.

摘要

•A new type of dissipative Ermakov–Pinney equations are integrable.•Nonlinear dissipation-gain introduced through the Chiellini integrable Abel equation.•Higher-order Reid nonlinearities are also considered.•Ermakov invariant is used in the solution method.

论文关键词：Dissipative Ermakov–Pinney equation,Chiellini damping,Reid nonlinearities,Abel equation

论文评审过程：Available online 3 March 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.02.037