1
Online Islamic University, Department Of Science and Information Technology, Doha, Qatar
(ramaanadwehh@gmail.com)
Abstract :
In this paper we study Bäcklund transformations (BTs) for Cosgrove’s equation F-XVIII. We use the generalization of Fokas and Ablowitz method to derive BT between F-XVIII and new fourth-order ordinary differential equations of Painlevé type. Moreover we derive auto-BT and give special solutions for F-XVIII.
Keywords :
Cosgrove's equation; Backlund Transformation; Differential equation
References :
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| Style | # |
|---|---|
| MLA | Rama Asad Nadweh. "On The Bäcklund Transformations for Cosgrove's Equation." Galoitica: Journal of Mathematical Structures and Applications, Vol. 5, No. 1, 2023 ,PP. 49-55 (Doi : https://doi.org/10.54216/GJMSA.050105) |
| APA | Rama Asad Nadweh. (2023). On The Bäcklund Transformations for Cosgrove's Equation. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 1 ), 49-55 (Doi : https://doi.org/10.54216/GJMSA.050105) |
| Chicago | Rama Asad Nadweh. "On The Bäcklund Transformations for Cosgrove's Equation." Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 no. 1 (2023): 49-55 (Doi : https://doi.org/10.54216/GJMSA.050105) |
| Harvard | Rama Asad Nadweh. (2023). On The Bäcklund Transformations for Cosgrove's Equation. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 1 ), 49-55 (Doi : https://doi.org/10.54216/GJMSA.050105) |
| Vancouver | Rama Asad Nadweh. On The Bäcklund Transformations for Cosgrove's Equation. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 5 ( 1 ): 49-55 (Doi : https://doi.org/10.54216/GJMSA.050105) |
| IEEE | Rama Asad Nadweh, On The Bäcklund Transformations for Cosgrove's Equation, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 5 , No. 1 , (2023) : 49-55 (Doi : https://doi.org/10.54216/GJMSA.050105) |