Optical soliton solutions to the space–time fractional perturbed Schrödinger equation in communication engineering

Akbar, M. Ali; Khatun, Mst. Munny

doi:10.1007/s11082-023-04911-9

Cited by 9 publications

(1 citation statement)

References 32 publications

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“…New closed-form soliton wave structures of solutions of Kerr's law nonlinear fractional perturbed SchrÃdinger equation are found using the tanh-coth method [33]. Various optical soliton solutions for the space-time fractional nonlinear perturbative SchrÃdinger equation have been generated using a doubleeffect approach, (G'/G,1/G)-expansion and improved F-expansion [34]. Many important equations corresponding to the optical solitons are investigated by Biswas et al (see, [35][36][37][38][39][40][41][42][43][44] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

On the exact solutions of optical perturbed fractional Schrödinger equation

Ozkan,

Yildirim,

Ozkan

2023

Phys. Scr.

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In the present study, the improved sub-equation method is applied to the optical perturbed fractional Schrödinger equation with Beta-derivative and the exact optical solutions are obtained. The generalized hyperbolic and trigonometric function solutions are found by the method. Several novel physical surface structures of the solutions are presented with various appropriate assigned values. The method aids in solving complicated physical phenomena of these dynamical models. Numerical implementations and graphical illustrations verify the theoretical results.

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