The painlevé property and coordinate transformations
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In this paper, the question of conserving the Painlevé property of partial differential equations via coordinate transformations between partial differential equations is studied. Also, the effects of some types of transformations, like ordinary Bäcklund as well as auto-Bäcklund 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.
KeywordsDifferential Equation Partial Differential Equation Coordinate Transformation Order Prolongation
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