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Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system

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  • Seadawy, Aly R.
  • Ahmed, Sarfaraz
  • Rizvi, Syed T.R.
  • Ali, Kashif

Abstract

In this article, we study the double chain deoxyribonucleic acid (DNA) system, the work will be carried out via appropriate transformations. Distinct types of soliton solutions, namely, lump, lump one stripe, lump two stripe, lump periodic and rogue wave solutions will be studied for different polynomial functions. By setting the function as the general quadratic polynomial function, a type of lump solution which contains various parameters will be obtained. We also show an interaction solution with lump, periodic and kink wave respectively. This article also, leads to construct Ma-breather (MB), Kuznetsov-Ma breather (KMB) and its relating rogue wave solutions. Some of the obtained solutions will be graphically exemplified.

Suggested Citation

  • Seadawy, Aly R. & Ahmed, Sarfaraz & Rizvi, Syed T.R. & Ali, Kashif, 2022. "Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005173
    DOI: 10.1016/j.chaos.2022.112307
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    References listed on IDEAS

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    1. Seadawy, Aly R. & Iqbal, Mujahid & Lu, Dianchen, 2020. "Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg–de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    2. Seadawy, Aly R. & Arshad, Muhammad & Lu, Dianchen, 2020. "The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. 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).
    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, Hindawi, vol. 2014, pages 1-5, April.
    5. Çelik, Nisa & Seadawy, Aly R. & Sağlam Özkan, Yeşim & Yaşar, Emrullah, 2021. "A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
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