The painlevé property and coordinate transformations |
| |
Authors: | M F El-Sabbagh |
| |
Institution: | (1) Mathematics Department Faculty of Science, Minia University, Egypt;(2) Present address: Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|