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      https://www.ias.ac.in/article/fulltext/pram/096/0184

    • Keywords

       

      Nonlinear Schrödinger-type equation; conformable derivative; generalised Riccati simple equation method; modified simple equation method; optical solitons.

    • Abstract

       

      The current study suggests a new generalisation of highly dispersive nonlinear Schrödinger-type equation (NLSE) with perturbation terms. With polynomial refractive index, known by cubic–quintic–septic (CQS) law and Hamiltonian-type cubic perturbation terms, the new model includes eighth-order dispersion term. The generalised Riccati simplest equation method (RSEM) and the modified simplest equation method (MSEM) are successfully utilised to analytically process the fractional version of the considered NLSE. A diverse collection ofbright, dark and singular optical solitons under some constraints, in hyperbolic, periodic and rational-exponential forms are derived. Graphical interpretations of some obtained solutions are displayed. The two considered schemes,with different algorithms, show an influential mathematical tool for processing nonlinear fractional evolution equations.

    • Author Affiliations

       

      EMAD AZ-ZO’BI1 AMAL F AL-MAAITAH2 MOHAMMAD A TASHTOUSH3 4 M S OSMAN5 6

      1. Department of Mathematics and Statistics, Mutah University, Al-Karak, Jordan
      2. Department of Physics, Mutah University, Al-Karak, Jordan
      3. Department of Basic Sciences, Al-Huson University College, Al-Balqa Applied University, Al-Husun, Jordan
      4. Faculty of Education and Arts, Sohar University, Sohar, Oman
      5. Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University,Makkah 21955, Saudi Arabia
      6. Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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