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New Exact Solutions of Nonlinear (3 + 1)‐Dimensional Boiti‐Leon‐Manna‐Pempinelli Equation

Author

Listed:
  • Mohamed R. Ali
  • Wen-Xiu Ma

Abstract

Based on Hirota’s bilinear structure, we evolute a new protuberance type arrangement of the (3+1)‐dimensional Boiti‐Boiti‐Leon‐Manna‐Pempinelli equation, which depicts nonlinear wave spreads in incompressible fluid. New lump arrangement is built by applying the bilinear strategy and picking appropriate polynomial. Under various parameter settings, this lump arrangement has three sorts of numerous irregularity waves, blended arrangements including lump waves and solitons are additionally developed. Association practices are seen between lump soliton and soliton. Research demonstrates that soliton can somewhat swallow or release lump waves. The shape and highlights for these subsequent arrangements are portrayed by exploiting the three‐dimensional plots and comparing shape plots by picking suitable parameters. The physical significance of these charts is given.

Suggested Citation

  • Mohamed R. Ali & Wen-Xiu Ma, 2019. "New Exact Solutions of Nonlinear (3 + 1)‐Dimensional Boiti‐Leon‐Manna‐Pempinelli Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:9801638
    DOI: 10.1155/2019/9801638
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    References listed on IDEAS

    as
    1. Mohamed R. Ali, 2019. "A Truncation Method for Solving the Time‐Fractional Benjamin‐Ono Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2019(1).
    2. Triki, Houria & Bensalem, Chaouki & Biswas, Anjan & Zhou, Qin & Ekici, Mehmet & Moshokoa, Seithuti P. & Belic, Milivoj, 2019. "W-shaped and bright optical solitons in negative indexed materials," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 101-107.
    3. Mohamed R. Ali, 2019. "A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-7, May.
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