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 8 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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Section: Introductionmentioning

confidence: 99%

On the exact solutions of optical perturbed fractional Schrödinger equation

Ozkan,

Yildirim,

Ozkan

2023

Phys. Scr.

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On nonlinear wave structures, stability analysis and modulation instability of the time fractional perturbed dynamical model in ultrafast fibers

Alhefthi,

Tariq,

Kazmi

2024

Opt Quant Electron

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M-truncated fractional form of the perturbed Chen–Lee–Liu equation: optical solitons, bifurcation, sensitivity analysis, and chaotic behaviors

Kopçasız,

Yaşar

2024

Opt Quant Electron

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This investigation discusses the modified M-truncated form of the perturbed Chen–Lee–Liu (pCLL) dynamical equation. The pCLL equation is a generalization of the original CLL equation, which describes the propagation of optical solitons in optical fibers. The pCLL equation includes additional terms that account for various influences such as chromatic dispersion, nonlinear dispersion, inter-modal dispersion, and self-steepening. A new version of the generalized exponential rational function method is utilized to obtain multifarious types of soliton solutions. Moreover, the planar dynamical system of the concerned equation is created using a Hamiltonian transformation, all probable phase portraits are given, and sensitive inspection is applied to check the sensitivity of the considered equation. Furthermore, after adding a perturbed term, chaotic and quasi-periodic behaviors have been observed for different values of parameters, and multistability is reported at the end. Numerical simulations of the solutions are added to the analytical results to better understand the dynamic behavior of these solutions. The study’s findings could be extremely useful in solving additional nonlinear partial differential equations.

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

Cited by 8 publications

References 32 publications

On the exact solutions of optical perturbed fractional Schrödinger equation

On the exact solutions of optical perturbed fractional Schrödinger equation

On nonlinear wave structures, stability analysis and modulation instability of the time fractional perturbed dynamical model in ultrafast fibers

M-truncated fractional form of the perturbed Chen–Lee–Liu equation: optical solitons, bifurcation, sensitivity analysis, and chaotic behaviors

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