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Four soliton propagation in a generalized nonautonomous Hirota equation using Darboux transformation

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Abstract

In this paper, the generalized nonautonomous Hirota equation was investigated with the help of symbolic computation. Using Darboux transformation method three soliton and four soliton solutions were developed based on Lax pair construction. The corresponding figures are plotted to show the properties of the constructed soliton solutions. By manipulating autonomous and nonautonomous profile, various soliton systems are investigated. These solitons systems have potential applications in the design of soliton compressor, soliton amplification, and high-speed optical devices in ultra large data transmission systems. In future experiments, the findings of this study are expected to be demonstrated.

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Authors and Affiliations

  1. Department of Physics, SRM Institute of Science and Technology, Ramapuram Campus, Bharathi Salai, Ramapuram, Chennai, 600089, India

    S. Gugan & K. Subramanian

  2. Department of Physics, University College of Engineering, Anna University, Ramanathapuram, 623513, India

    M. S. Mani Rajan

  3. Department of Physics, Presidency College, Chennai, 600005, India

    T. Alagesan

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  1. S. Gugan
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  2. K. Subramanian
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  3. M. S. Mani Rajan
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  4. T. Alagesan
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Contributions

SG: Conceptualization, Software, Writing-original draft. KS: Calculation and Graphics. MSM: Supervision, Methodology, Editing. TA: Review and Editing.

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Correspondence to K. Subramanian.

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Gugan, S., Subramanian, K., Mani Rajan, M.S. et al. Four soliton propagation in a generalized nonautonomous Hirota equation using Darboux transformation. Opt Quant Electron 55, 354 (2023). https://doi.org/10.1007/s11082-023-04578-2

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