Volume 5 • Issue 1 • PP: 49-55 • 2023
On The Bäcklund Transformations for Cosgrove's Equation
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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.
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References
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