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

Ayman H. Sakka, Safejan R. Elshamy


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.


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