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Bifurcation Analysis and Exact Wave Solutions for the Double‐Chain Model of DNA

Author

Listed:
  • Taher S. Hassan
  • A.A. Elmandouh
  • Adel A. Attiya
  • Ahmed Y. Khedr

Abstract

This work aims to study analytically the nonlinear model for deoxyribonucleic acid (DNA). Based on the complete discrimination and direct method, some new wave solutions are introduced. These solutions are sorted into solitary, periodic, kink (antikink), and singular solutions. Moreover, a part of them is illustrated graphically. Based on Hamilton concepts, we study the bifurcation and phase portrait for the Hamilton system corresponding to the model under consideration.

Suggested Citation

  • Taher S. Hassan & A.A. Elmandouh & Adel A. Attiya & Ahmed Y. Khedr, 2022. "Bifurcation Analysis and Exact Wave Solutions for the Double‐Chain Model of DNA," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:7188118
    DOI: 10.1155/2022/7188118
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    References listed on IDEAS

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    1. Seadawy, Aly R. & Bilal, M. & Younis, M. & Rizvi, S.T.R. & Althobaiti, Saad & Makhlouf, M.M., 2021. "Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Zhang, Huiqun, 2008. "New exact travelling wave solutions for some nonlinear evolution equations, Part II," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1328-1334.
    3. Zheng-yong Ouyang & Shan Zheng, 2014. "Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
    4. Zheng-yong Ouyang & Shan Zheng, 2014. "Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double‐Chain Model of DNA," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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