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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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      Second-order fourth-degree Painlevé-type equations

      Sakka, A. (IOP Publishing, 2001-01-26)
      Transformations that involve a Fuchsian-type equation are used to obtain one-to-one correspondence between the Painlevé I-IV equations and certain second-order fourth-degree Painlevé-type equations.