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      Bäcklund transformations for fifth–order Cosgrove’s equations

      Sakka, Ayman H.; Elshamy, Safejan R. (الجامعة الإسلامية - غزة, 2007)
      In this article we use a generalization of Fokas and Ablowitz algorithm to obtain Baecklund transformations (BTs) for the fifth-order ordinary differential equations of Cosgrove, Fif-Fif-II, Fif-III, and FifIV. We derive ...
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      B¨acklund transformations for Cosgrove’s equation F-XVIII

      Sakka, A. H.; Elshamy, S. (2007)
      In this paper we study B¨acklund transformations (BTs) for Cosgrove’s equation F-XVIII.We use the generalization of Fokas and Ablowitz method to derive BTs between F-XVIII and new fourth-order ordinary differential ...
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      B¨acklund transformations for fourth-order Painlev´e-type equations

      Sakka, Ayman H.; Elshamy, Safejan R. (الجامعة الإسلامية - غزة, 2006)
      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 ...