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Novel dynamics of the Zoomeron model via different analytical methods

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  • Ullah, Mohammad Safi
  • Baleanu, Dumitru
  • Ali, M. Zulfikar
  • Harun-Or-Roshid,

Abstract

We apply the novel Kudryashov scheme, the 1G′ approach, and the G′G′+G+A technique to handle the Zoomeron model for the first time, which yields several kinds of soliton solutions with some novel dynamic properties. The proposed model handles specific incidents of soliton structures with distinctive characteristics that arise in laser sciences, fluid mechanics, and nonlinear optics. We observe dark soliton, bright soliton, periodic waves, kink waves, anti-kink waves, and breather waves for the mentioned equation by symbolic calculation. The suggested model also produces lump-type breather waves. Density, 3D, and 2D images are used to exhibit the dynamics of the adopted outcomes. The results will be crucial for future research on higher-order nonlinear models.

Suggested Citation

  • Ullah, Mohammad Safi & Baleanu, Dumitru & Ali, M. Zulfikar & Harun-Or-Roshid,, 2023. "Novel dynamics of the Zoomeron model via different analytical methods," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007579
    DOI: 10.1016/j.chaos.2023.113856
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    References listed on IDEAS

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    1. Alam, Md. Nur & Iqbal, Mujahid & Hassan, Mohammad & Fayz-Al-Asad, Md. & Hossain, Muhammad Sajjad & Tunç, Cemil, 2024. "Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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