Abstract:A Lie system is a non-autonomous system of first-order ordinary differential equations whose general solution can be written via an autonomous function, a so-called (nonlinear) superposition rule of a finite number of particular solutions and some parameters to be related to initial conditions. Even if the superposition rules for some Lie systems are known, the explicit analytic expression of their solutions frequently is not. This is why this article focuses on a novel geometric attempt to integrate Lie syste… Show more
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