APPLICATION OF THE GENERALISED SUNDMAN TRANSFORMATION TO THE LINEARISATION OF TWO SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS

作者：Moyo Sibusiso; Meleshko Sergey V^*

来源：Journal of Nonlinear Mathematical Physics, 2011, 18(Supplement 1): 213-236.

DOI：10.1142/S1402925111001386

• Linearization problem
• generalized Sundman transformation
• system of nonlinear second-order ordinary differential equations

In the literature, the generalized Sundman transformation has been used for obtaining necessary and sufficient conditions for a single second- and third-order ordinary differential equation to be equivalent to a linear equation in the Laguerre form. As far as we are aware, the generalized Sundman transformation has not been applied to a system of equations. The motivation of this work is then to expand the application of the generalized Sundman transformation to a system of ordinary differential equations, in particular, to a system of two second-order ordinary differential equations.

• 出版日期2011-5