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Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

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  • M. F. Uddin
  • M. G. Hafez
  • Ivan Giorgio

Abstract

The work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefringent fibers. The new extended direct algebraic method for the first time is implemented to achieve this goal. Many optical solutions are listed along with their existence criteria. Based on the existence criteria, the cubic-quartic bright, and singular optical soliton, periodic pulse, and rouge wave profiles are supported in birefringent fibers with the influence of both beta and conformable derivative parameter.

Suggested Citation

  • M. F. Uddin & M. G. Hafez & Ivan Giorgio, 2022. "Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-15, December.
    • Handle: RePEc:hin:jnlamp:7265164
    DOI: 10.1155/2022/7265164
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