• Chaotic behaviour from smooth and non-smooth optical solitons under external perturbation

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      https://www.ias.ac.in/article/fulltext/pram/087/02/0024

    • Keywords

       

      Fibre-optic, Melnikov method, nonlinear Schrödinger equation, singular homoclinic orbits

    • Abstract

       

      Smooth and non-smooth optical solitons in the nonlinearly dispersive Schrödinger equation are given by phase portraits. The Melnikov technique is used to detect conditions for chaotic motion of this deterministic system and to analyse conditions for the suppression of chaos. Our results show that the system is in a state of Melnikov chaos by external disturbances. After the implementation of the controlled system, the optical solitons can transmit in a stable station for a long time. Numerical simulation also shows that maximum interference frequency of the system enables the dynamic behaviour to be more complex. The effect of controller parameter on phase portraits as well as on the numerical simulations of bifurcation diagram and maximum Lyapunov exponents are also investigated.

    • Author Affiliations

       

      LIUWEI ZHAO1 2 JIULI YIN2

      1. Social Science Computing Experiment Center, School of Management, Jiangsu University, Zhenjiang, Jiangsu 212 013, China
      2. Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, P R China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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