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New wave behaviors and stability analysis for the (2+1)-dimensional Zoomeron model

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Abstract

This manuscript employs the (2+1)-dimensional Zoomeron model extensively used in laser physics, fluids, optical fibre communication, and other mathematical physics and engineering fields. We utilize the extended Jacobian elliptic function and the modified extended \(\tanh\) techniques to derive the solution for this model explicitly. Furthermore, the linear stability process is applied to investigate the stability analysis of the governing model. By employing symbolic computation, we can obtain periodic waves, anti-kink waves, kink waves, bright-dark breather waves, and kinky breather waves within this model. Additionally, we identify singular breather waves and singular kink waves. The propagation of these outcomes is visually represented through 3D, 2D and density images. Furthermore, we present the novelty of the obtained solutions and compare them to other solutions in the literature. Finally, we discuss the physical implications of our results and the potential applications of this model. These results enhance our understanding of nonlinear dynamics and pave the way for further research in this area.

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Authors and Affiliations

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

    Mohammad Safi Ullah

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

    Harun-Or Roshid

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

    Mohammad Safi Ullah & M. Zulfikar Ali

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  1. Mohammad Safi Ullah
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  2. Harun-Or Roshid
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  3. M. Zulfikar Ali
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MSU Methodology, Software, Writing-original draft; H-O-R Conceptualization, Supervision, Validation; MZA Data curation, Supervision.

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Correspondence to Mohammad Safi Ullah.

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Ullah, M.S., Roshid, HO. & Ali, M.Z. New wave behaviors and stability analysis for the (2+1)-dimensional Zoomeron model. Opt Quant Electron 56, 240 (2024). https://doi.org/10.1007/s11082-023-05804-7

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