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Novel Bright And Kink Optical Soliton Solutions Of Fractional Lakshmanan–Porsezian–Daniel Equation With Kerr Law Nonlinearity In Conformable Sense

Author

Listed:
  • M. ALABEDALHADI

    (Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan)

  • S. ALHAZMI

    (��Mathematics Department, College of Education for Girls at Al-Qunfudah, Umm Al-Qura University, Mecca KSA, Al-Kharj 11942, Saudi Arabia)

  • S. AL-OMARI

    (��Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan)

  • M. Al-SMADI

    (�College of Commerce and Business, Lusail University, Lusail, Qatar¶Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, UAE)

  • S. MOMANI

    (�Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, UAE∥Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan)

Abstract

The fractional Lakshmanan–Porsezian–Daniel equation (LPD) is a significant complex model for the fractional Schrödinger family which arises in quantum physics. This paper explores new bright and kink soliton solutions of the space-time fractional LPD equation with the Kerr law of nonlinearity. By considering the conformable derivatives, the governing model is translated into integer-order differential equations with the aid of an appropriate complex traveling wave transformation. Dynamic behavior and phase portrait of traveling wave solutions are investigated. Further, various types of bright and kinked soliton solutions under definite parametric settings are discussed. Moreover, graphical representations of the obtained solution of the diverse fractional order are depicted to naturally illustrate the constructed solution.

Suggested Citation

  • M. ALABEDALHADI & S. ALHAZMI & S. AL-OMARI & M. Al-SMADI & S. MOMANI, 2023. "Novel Bright And Kink Optical Soliton Solutions Of Fractional Lakshmanan–Porsezian–Daniel Equation With Kerr Law Nonlinearity In Conformable Sense," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23400042
    DOI: 10.1142/S0218348X23400042
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