Complete Group Classification of Systems of Two Nonlinear Second-Order Ordinary Differential Equations of the Form ${\mathbf{y}}^{\prime \prime }=\mathbf{F}(\mathbf{y})$

Giovanna Fae Oguis, Sibusiso Moyo, Sergey Meleshko

Extensive work has been done on the group classification of systems of equations in the literature. This paper identifies the gap in the literature which concerns the group classif…