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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
  • Fairouz Tchier

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 & Fairouz Tchier, 2022. "Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA," Journal of Mathematics, Hindawi, vol. 2022, pages 1-17, May.
    • Handle: RePEc:hin:jjmath:7188118
    DOI: 10.1155/2022/7188118
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