Adhir Maharaj, Peter G. L. Leach, Megan Govender, David P. Day

Linearisation of a second-order nonlinear ordinary differential equation

Číslo: 1/2023
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2023.63.0019

Klíčová slova: lie symmetries, integrability, linearisation

Pro získání musíte mít účet v Citace PRO.

Anotace: We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v. The eight Lie point symmetries obtained for the second-order ordinary differential equation is of maximal number and a representation of the sl(3,R) algebra. We extend this analysis to a more general nonlinear second-order differential equation and we obtain similar interesting algebraic properties.