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Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation

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Abstract

Analytical forms of optical pulses for the hyperbolic nonlinear Schrödinger equation are studied by the extended tanh expansion method and another new method successfully. Some graphical presentations of these analytical optical pulses are presented. Bifurcation analysis of the optical pulses of the hyperbolic nonlinear Schrödinger equation is also presented. All possible phase plots are depicted based on physical parameters. The hyperbolic nonlinear Schrödinger equation supports solitary, periodic, kink, anti-kink and most important superperiodic optical pulses. This study is applicable to understand the features of nonlinear pulses in optical fiber.

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Acknowledgements

The author is thankful to SMIT (SMU) for TMA Pai Research Grant (Ref. No. 6100/ SMIT/ R&D/ Project/ 19/ 2019).

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Authors and Affiliations

  1. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim, 737136, India

    Asit Saha & Yogen Ghatani

  2. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

    Khalid K. Ali

  3. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

Authors
  1. Asit Saha
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  2. Khalid K. Ali
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  3. Hadi Rezazadeh
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  4. Yogen Ghatani
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Correspondence to Asit Saha.

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Saha, A., Ali, K.K., Rezazadeh, H. et al. Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation. Opt Quant Electron 53, 150 (2021). https://doi.org/10.1007/s11082-021-02787-1

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