Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 5 , Issue 1 , PP: 49-55, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Rama Asad Nadweh 1 *
Doi: https://doi.org/10.54216/GJMSA.050105
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.
Cosgrove's equation , Backlund Transformation , Differential equation
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