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Lump solutions, Kuznetsov–Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod

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  • Seadawy, Aly R.
  • Rizvi, Syed T.R.
  • Ahmed, Sarfaraz
  • Bashir, Azhar

Abstract

The current study deals with investigation of various lumps, breathers and interaction solutions to the (1+1)-dimensional longitudinal wave equation in magneto electro-elastic circular rod via bilinear method and choosing appropriate polynomial function. In particular, we obtain lump, interaction of lump with one kink, interaction of lump with two kink, lump periodic, Manifold periodic, Ma breather, Kuznetsov–Ma breather and its corresponding rogue wave solutions for ensuing model. The Cole–Hopf transformation is implemented on the stated equation to produce its bilinear form. By choosing the function f in bilinear form of the (1+1)-dimensional longitudinal wave equation as the positive quadratic polynomial function, a kind of lump type solution which involves eleven parameters with six arbitrary independent parameters is obtained. We also obtain rogue wave solutions formed by the interaction of lump solution and a pair of stripe solitons. Furthermore, the dynamics of these solutions are figured out graphically by choosing suitable values to parameters.

Suggested Citation

  • Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz & Bashir, Azhar, 2022. "Lump solutions, Kuznetsov–Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    • Handle: RePEc:eee:chsofr:v:163:y:2022:i:c:s096007792200755x
    DOI: 10.1016/j.chaos.2022.112563
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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. Seadawy, Aly R. & Cheemaa, Nadia, 2019. "Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger Equations in two core optical fibers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 529(C).
    3. Abdulmohsen D. Alruwaili & Aly R. Seadawy & Syed T. R. Rizvi & Sid Ahmed O. Beinane, 2022. "Diverse Multiple Lump Analytical Solutions for Ion Sound and Langmuir Waves," Mathematics, MDPI, vol. 10(2), pages 1-21, January.
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