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Collision phenomena among lump, periodic and stripe soliton solutions to a (2 + 1)-dimensional Benjamin–Bona–Mahony–Burgers Model

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Abstract

In this script, the (2 + 1)-dimensional Benjamin–Bona–Mahony–Burgers (BBMB) model is considered and reduced to bilinear form by using the Hirota bilinear scheme. We analytically construct lump waves and collision of lump with periodic waves. We also present collision between lump wave and one-, two-stripe soliton solutions, and the collision among lump, periodic and one-, two-stripe soliton solutions of the BBMB model. In addition, we explain the fission properties of the lump and periodic waves, lump, periodic and one stripe, and lump, periodic and two-stripe solitons. Finally, we graphically present the nature of the collision solutions of the model in 3D and contour plots.

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Authors and Affiliations

  1. Department of Mathematics, Comilla University, Cumilla, 3506, Bangladesh

    Mohammad Safi Ullah

  2. Department of Mathematics, Rajshahi University, Rajshahi, 6205, Bangladesh

    Mohammad Safi Ullah & M. Zulfikar Ali

  3. Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600, Bangladesh

    Harun-Or Roshid & Md. Fazlul Hoque

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  1. Mohammad Safi Ullah
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  2. M. Zulfikar Ali
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  3. Harun-Or Roshid
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  4. Md. Fazlul Hoque
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Correspondence to Mohammad Safi Ullah.

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Ullah, M.S., Ali, M.Z., Roshid, HO. et al. Collision phenomena among lump, periodic and stripe soliton solutions to a (2 + 1)-dimensional Benjamin–Bona–Mahony–Burgers Model. Eur. Phys. J. Plus 136, 370 (2021). https://doi.org/10.1140/epjp/s13360-021-01343-w

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