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Dynamics of three-wave solitons and other localized wave solutions to a new generalized (3+1)-dimensional P-type equation

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  • Rafiq, Muhammad Naveed
  • Chen, Haibo

Abstract

This study investigates the nonlinear wave equation in soliton theory, specifically focusing on the new generalized (3+1)-dimensional P-type equation. By employing the Hirota bilinear method, we successfully derive the dynamics of multiwave solutions with trigonometric and hyperbolic functions such as one-soliton, two-soliton, three-soliton, Kuznetsov–Ma breather soliton, Homoclinic breather soliton, M-shaped soliton and W-shaped soliton. To visually represent the obtained solutions, we depict them through 2D and 3D plots, showcasing various dynamical structures along with diverse sets of parameters for a more comprehensive physical understanding. Additionally, we conduct a stability analysis of the governing equation, offering stability criteria along with the corresponding regions of stability. The outcomes are novel, valuable, and represent unexplored territory for the examined equation, as no prior studies have delved into these findings.

Suggested Citation

  • Rafiq, Muhammad Naveed & Chen, Haibo, 2024. "Dynamics of three-wave solitons and other localized wave solutions to a new generalized (3+1)-dimensional P-type equation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001553
    DOI: 10.1016/j.chaos.2024.114604
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    References listed on IDEAS

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    1. Rafiq, Muhammad Hamza & Raza, Nauman & Jhangeer, Adil, 2023. "Dynamic study of bifurcation, chaotic behavior and multi-soliton profiles for the system of shallow water wave equations with their stability," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
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    6. 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.
    7. Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz, 2022. "Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized Fitzhugh-Nagumo equation: Applications in nuclear reactor theory," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    8. 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).
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