Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2060 (Aug., 2005), pp. 2451-2476 (26 pages) A method for finding general solutions of second-order nonlinear ordinary ...