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Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models

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  • Seadawy, Aly R.
  • Ali, Asghar
  • Althobaiti, Saad
  • Sayed, Samy

Abstract

Manuscript purpose is to find analytical solutions of the (2 + 1)-dimensional Heisenberg Ferromagnetic Spin Chain and Vakhnenko dynamical equations by using the generalized direct algebraic and simple equation analytical methods. Numerous exact traveling results are obtained in exponential, trigonometric and hyperbolic wave solutions. To understand the physical behavior of the models, the two and three dimensions graphs along with contour are plotted after assigning the particular values to the parameters. Obtained structures provide a rich platform for solving nonlinear wave problems with many applications.

Suggested Citation

  • Seadawy, Aly R. & Ali, Asghar & Althobaiti, Saad & Sayed, Samy, 2021. "Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077920310201
    DOI: 10.1016/j.chaos.2020.110629
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    References listed on IDEAS

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    1. Chen, Yong & Yan, Zhenya, 2006. "The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 948-964.
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    3. Helal, M.A. & Seadawy, A.R. & Zekry, M.H., 2014. "Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1094-1103.
    4. Ma, Wen-Xiu & Lee, Jyh-Hao, 2009. "A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1356-1363.
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    Cited by:

    1. Qinghao Zhu & Jianming Qi, 2022. "Abundant Exact Soliton Solutions of the (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Equation Based on the Jacobi Elliptic Function Ideas," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    2. HZ Mawa & S. M. Rayhanul Islam & Md. Habibul Bashar & Md. Mamunur Roshid & Jahedul Islam & Sadia Akhter, 2023. "Soliton Solutions to the BA Model and (3 + 1)‐Dimensional KP Equation Using Advanced exp(−ϕ(ξ))‐Expansion Scheme in Mathematical Physics," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).

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