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New Soliton Solutions In Nano-Fibers With Space-Time Fractional Derivatives

Author

Listed:
  • THILAGARAJAH MATHANARANJAN

    (Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka)

  • DAYALINI VIJAYAKUMAR

    (Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka)

Abstract

The conformable space-time fractional perturbed nonlinear Schrödinger equation (PNLSE) having three different laws of nonlinearity namely, Kerr law, parabolic law, and power law is considered in this paper. The PNLSE is a nonlinear model which arises in nano-fibers. An efficient technique called the exp(−Φ(ξ))-expansion method is utilized to construct some new soliton solutions of the considered model. As a result, dark, singular, rational and periodic solitary wave solutions are obtained. For the special choice of parameters, the 3D, 2D and contour surfaces of the reported solutions are plotted.

Suggested Citation

  • Thilagarajah Mathanaranjan & Dayalini Vijayakumar, 2022. "New Soliton Solutions In Nano-Fibers With Space-Time Fractional Derivatives," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(07), pages 1-10, November.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:07:n:s0218348x22501419
    DOI: 10.1142/S0218348X22501419
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