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Analytical and soliton solutions: Nonlinear model of nanobioelectronics transmission lines

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  • Younis, Muhammad
  • Rizvi, Syed Tahir Raza
  • Ali, Safdar

Abstract

In this article, analytical solutions and different types of soliton envelopes: bright, dark and singular for the nonlinear model, namely, nanobioelectronics transmission lines have been constructed along with constrained conditions. The modified extended tanh-function method and exp-function method have been used to find analytical solutions, and while solitary wave ansatz is used to construct these soliton solutions. Additionally, the constraint conditions, for the existence of the soliton solutions are also listed.

Suggested Citation

  • Younis, Muhammad & Rizvi, Syed Tahir Raza & Ali, Safdar, 2015. "Analytical and soliton solutions: Nonlinear model of nanobioelectronics transmission lines," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 994-1002.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:994-1002
    DOI: 10.1016/j.amc.2015.05.121
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
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    Cited by:

    1. Wael W. Mohammed & Farah M. Al-Askar & Clemente Cesarano, 2022. "The Analytical Solutions of the Stochastic mKdV Equation via the Mapping Method," Mathematics, MDPI, vol. 10(22), pages 1-9, November.
    2. Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Kumar, Dipankar & Seadawy, Aly R. & Haque, Md. Rabiul, 2018. "Multiple soliton solutions of the nonlinear partial differential equations describing the wave propagation in nonlinear low–pass electrical transmission lines," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 62-76.

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