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Construction of soliton solutions of the modify unstable nonlinear Schrödinger dynamical equation in fiber optics

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Abstract

In this research article, we investigated the universal model of integrable system of modify unstable nonlinear Schrödinger equation. The mUNLSE described the disturbance of time period in slightly stable and unstable media and managed the instability of modulation wave train. We found the exact and solitary wave solutions of mUNLSE with the help of modified extended auxiliary equation mapping method. As a result, exact and solitary wave solutions in the form of elliptic functions, trigonometric functions, hyperbolic functions, bright and dark solitons, traveling wave, kink-type solitons and periodic solitary wave solution are obtained. These solutions show the power and effectiveness of this new method and two- and three-dimensional graphically with the help of computer software Mathematica. We can also solve other unstable nonlinear system of PDEs which are involved in Mathematical physics and many other branches of physical sciences with the help of this new method.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Taibah University, Medina, Al-Munawarah, Saudi Arabia

    Aly R Seadawy

  2. Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt

    Aly R Seadawy

  3. Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, People’s Republic of China

    Mujahid Iqbal & Dianchen Lu

Authors
  1. Aly R Seadawy
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  2. Mujahid Iqbal
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  3. Dianchen Lu
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Corresponding authors

Correspondence to Aly R Seadawy, Mujahid Iqbal or Dianchen Lu.

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This research received no specific grant from any funding agency in the public, commercial or not-for-profit sectors. The authors did not have any competing interests in this research.

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Seadawy, A.R., Iqbal, M. & Lu, D. Construction of soliton solutions of the modify unstable nonlinear Schrödinger dynamical equation in fiber optics. Indian J Phys 94, 823–832 (2020). https://doi.org/10.1007/s12648-019-01532-5

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  • DOI: https://doi.org/10.1007/s12648-019-01532-5

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