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 ...

We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals ...

Researchers at the University of Tsukuba employ a modified mathematical technique to make complicated nonlinear equations more tractable, which can lead to more accurate control systems for mechanical ...