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Hirota–Maccari system arises in single-mode fibers: abundant optical solutions via the modified auxiliary equation method

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Abstract

This research paper’s primary goal is to find fresh approaches to the Hirota–Maccari system. This system explains the dynamical features of the femto-second soliton pulse in single-mode fibers. The bright soliton, dark soliton, dark-bright soliton, dark singular, bright singular, periodic soliton, and singular solutions are developed utilizing the modified auxiliary equation technique. To make the physical significance of each unique solution clearer, it is mapped in both 2D and 3D. The primary Hirota–Maccari system is being verified by all new solutions, and the constraint condition is also provided. The obtained optical solitons may be important for the analysis of nonlinear processes in optic fiber communication and signal processing.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, University of Zakho, Zakho, Iraq

    Hajar F. Ismael

  2. Department of Computer Science, College of Science, Knowledge University, Erbil, 44001, Iraq

    Hajar F. Ismael

  3. Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

  4. Energy Engineering Department, Technical College of Engineering, Duhok Polytechnic University, Duhok, Iraq

    Azad Piro Shakir

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  1. Hajar F. Ismael
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  2. Haci Mehmet Baskonus
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  3. Azad Piro Shakir
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Correspondence to Hajar F. Ismael.

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Ismael, H.F., Baskonus, H.M. & Shakir, A.P. Hirota–Maccari system arises in single-mode fibers: abundant optical solutions via the modified auxiliary equation method. Opt Quant Electron 56, 858 (2024). https://doi.org/10.1007/s11082-024-06698-9

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