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  • 1 Minia University Mathematics Department Faculty of Science Egypt Egypt
  • 2 King Abdulaziz University Mathematics Department, Faculty of Science Jeddah Saudi Arabia Jeddah Saudi Arabia
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Abstract  

In this paper, the question of conserving the Painlev property of partial differential equations via coordinate transformations between partial differential equations is studied. Also, the effects of some types of transformations, like ordinary Bcklund as well as auto-Bcklund transformations of partial differential equations, are shown as well. Some features and comments, concerning higher order prolongations of these transformations as well as of the partial differential equations themselves, are given.