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Heart-cusp and bell-shaped-cusp optical solitons for an extended two-mode version of the complex Hirota model: application in optics

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Abstract

In this work, we present a new two-mode version to the complex Hirota equation. This new model arises in many applications in the field of optics, communications and other engineering sciences. It describes the propagation of two-symmetric solitary waves moving simultaneously with dependent phase-velocity parameter. The extended tanh-coth expansion method and the polynomial-function method are used to extract novel new cusp-type solutions to the Hirota model. A comprehensive graphical analysis is conducted to show physical aspects of this new type of nonlinear equations. The findings of this work are from mathematical point of view and we propose some benefits regarding the concept of two-mode where it could be visualized and practically applied.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Jordan University of Science & Technology, Irbid, 22110, Jordan

    Marwan Alquran & Imad Jaradat

  2. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Abdullahi Yusuf & Tukur Abdulkadir Sulaiman

  3. Department of Mathematics, Federal University Dutse, Dutse, Jigawa, Nigeria

    Abdullahi Yusuf & Tukur Abdulkadir Sulaiman

Authors
  1. Marwan Alquran
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  2. Imad Jaradat
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  3. Abdullahi Yusuf
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  4. Tukur Abdulkadir Sulaiman
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Correspondence to Tukur Abdulkadir Sulaiman.

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Alquran, M., Jaradat, I., Yusuf, A. et al. Heart-cusp and bell-shaped-cusp optical solitons for an extended two-mode version of the complex Hirota model: application in optics. Opt Quant Electron 53, 26 (2021). https://doi.org/10.1007/s11082-020-02674-1

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