B¨acklund transformations for fourth-order Painlev´e : type equations

الملخص EN

In this paper we study new forms of B¨acklund transformations for fourth-order ordinary differential equations of Painlev´e-type.

We present an algorithm which allows the construction of B¨acklund transformations between a given equation and a new fourth-order equation.

The precise form of the new equations are also determined