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Abundant optical solitons to the (2+1)-dimensional Kundu-Mukherjee-Naskar equation in fiber communication systems

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Abstract

The Kundu-Mukherjee-Naskar equation holds significant relevance as a nonlinear model for investigating intricate wave phenomena in fluid and optical systems. This study uncovers new optical soliton solutions for the KMN equation by employing analytical techniques that utilize combined elliptic Jacobian functions. The solutions exhibit mixtures of distinct Jacobian elliptic functions, offering novel insights not explored in prior KMN equation research. Visual representations in the form of 2D ContourPlots elucidate the physical behaviors and properties of these newly discovered solution forms. The utilization of symbolic computations facilitated the analytical derivation of these solutions, offering a deeper understanding of the nonlinear wave dynamics governed by the KMN equation. These employed techniques showcase the potential for future analytical advancements in unraveling the complex soliton landscape of the multifaceted KMN model. The findings provide valuable insights into the intricacies of soliton behavior within this nonlinear system, offering new perspectives for analysis and exploration in areas such as fiber optic communications, ocean waves, and fluid mechanics. Maple symbolic packages have enabled us to derive analytical results.

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The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

We extend our sincere gratitude to the four anonymous referees for their invaluable suggestions and expert guidance, which greatly enhanced the quality of this paper. Authors would like to acknowledge the financial support of Kermanshah University of Technology for this research opportunity under Grant number S/P/F/8.

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Authors would like to acknowledge the financial support of Kermanshah University of Technology for this research opportunity under Grant number S/P/F/8

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Authors and Affiliations

  1. Department of Mathematics, Kermanshah University of Technology, Kermanshah, Iran

    Behzad Ghanbari

  2. Department of Mathematics, Cankaya University, Balgat, 06530, Ankara, Turkey

    Dumitru Baleanu

  3. Institute of Space Sciences, 76900, Magurele, Bucharest, Romania

    Dumitru Baleanu

  4. Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

    Dumitru Baleanu

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  1. Behzad Ghanbari
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BG (Main analysis, Project administration; Conceptualization; Investigation; Methodology; Validation; Formal analysis; Software; Writing-original draft; Writing-review and editing), DB (Supervision). All authors read and approved the final manuscript.

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Ghanbari, B., Baleanu, D. Abundant optical solitons to the (2+1)-dimensional Kundu-Mukherjee-Naskar equation in fiber communication systems. Opt Quant Electron 55, 1133 (2023). https://doi.org/10.1007/s11082-023-05457-6

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