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The modify unstable nonlinear Schrödinger dynamical equation and its optical soliton solutions

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Abstract

In this research, we work on a specific class of nonlinear evolution equation which is the modify unstable nonlinear Schrödinger equation. This equation is used to describe a time evolution of disturbances in unstable media. Various solutions have been obtained. The results deduced are of varied types and include bright solution, dark solution, rational dark-bright solution, as well as cnoidal solutions. These solutions might be useful in engineering fields. Some conditions for the stability of these solutions are presented. The method used here is understandable and very powerful for solving the nonlinear problems.

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Authors and Affiliations

  1. Laboratoire d’Automatique et d’Informatique Appliquée (LAIA), IUT-FV of Bandjoun, The University of Dschang, BP 134, Bandjoun, Cameroon

    E. Tala-Tebue & Z. I. Djoufack

  2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

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

    Aly R. Seadawy

Authors
  1. E. Tala-Tebue
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  2. Aly R. Seadawy
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  3. Z. I. Djoufack
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Correspondence to Aly R. Seadawy.

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Tala-Tebue, E., Seadawy, A.R. & Djoufack, Z.I. The modify unstable nonlinear Schrödinger dynamical equation and its optical soliton solutions. Opt Quant Electron 50, 380 (2018). https://doi.org/10.1007/s11082-018-1642-6

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