Galoitica: Journal of Mathematical Structures and Applications

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Volume 5 , Issue 1 , PP: 49-55, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

On The Bäcklund Transformations for Cosgrove's Equation

Rama Asad Nadweh 1 *

  • 1 Online Islamic University, Department Of Science and Information Technology, Doha, Qatar - (ramaanadwehh@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.050105

    Received: January 14, 2023 Accepted: April 05, 2023
    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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    Cite This Article As :
    Asad, Rama. On The Bäcklund Transformations for Cosgrove's Equation. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2023, pp. 49-55. DOI: https://doi.org/10.54216/GJMSA.050105
    Asad, R. (2023). On The Bäcklund Transformations for Cosgrove's Equation. Galoitica: Journal of Mathematical Structures and Applications, (), 49-55. DOI: https://doi.org/10.54216/GJMSA.050105
    Asad, Rama. On The Bäcklund Transformations for Cosgrove's Equation. Galoitica: Journal of Mathematical Structures and Applications , no. (2023): 49-55. DOI: https://doi.org/10.54216/GJMSA.050105
    Asad, R. (2023) . On The Bäcklund Transformations for Cosgrove's Equation. Galoitica: Journal of Mathematical Structures and Applications , () , 49-55 . DOI: https://doi.org/10.54216/GJMSA.050105
    Asad R. [2023]. On The Bäcklund Transformations for Cosgrove's Equation. Galoitica: Journal of Mathematical Structures and Applications. (): 49-55. DOI: https://doi.org/10.54216/GJMSA.050105
    Asad, R. "On The Bäcklund Transformations for Cosgrove's Equation," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 49-55, 2023. DOI: https://doi.org/10.54216/GJMSA.050105