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New bright soliton solutions for Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equations and bidirectional propagation of water wave surface

Author

Listed:
  • S. Saha Ray

    (Department of Mathematics, National Institute of Technology, Rourkela 769008, India)

  • Shailendra Singh

    (Department of Mathematics, National Institute of Technology, Rourkela 769008, India)

Abstract

The governing equations for fluid flows, i.e. Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP-BBM) model equations represent a water wave model. These model equations describe the bidirectional propagating water wave surface. In this paper, an auto-Bäcklund transformation is being generated by utilizing truncated Painlevé expansion method for the considered equation. This paper determines the new bright soliton solutions for (2+1) and (3+1)-dimensional nonlinear KP-BBM equations. The simplified version of Hirota’s technique is utilized to infer new bright soliton solutions. The results are plotted graphically to understand the physical behavior of solutions.

Suggested Citation

  • S. Saha Ray & Shailendra Singh, 2022. "New bright soliton solutions for Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equations and bidirectional propagation of water wave surface," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-15, May.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:05:n:s0129183122500693
    DOI: 10.1142/S0129183122500693
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    Cited by:

    1. Singh, Shailendra & Saha Ray, S., 2023. "The Painlevé integrability and abundant analytical solutions for the potential Kadomtsev–Petviashvili (pKP) type coupled system with variable coefficients arising in nonlinear physics," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Singh, Shailendra & Saha Ray, S., 2023. "Integrability and new periodic, kink-antikink and complex optical soliton solutions of (3+1)-dimensional variable coefficient DJKM equation for the propagation of nonlinear dispersive waves in inhomog," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. Shen, Yuan & Tian, Bo & Zhou, Tian-Yu & Cheng, Chong-Dong, 2023. "Multi-pole solitons in an inhomogeneous multi-component nonlinear optical medium," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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