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Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers

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  • Khater, Mostafa M.A.

Abstract

This research study investigates different structures and novel solitary wave solutions of to the nonlinear fractional Lakshmanan–Porsezian–Daniel equation LPDE. The investigated model describes the dynamical and physical properties of the wave pulse in birefringent fibers which incorporates two vector solitons. A new fractional derivative with nonlocal and non-singular kernel is used to convert the model’s fractional form into ordinary differential equation with an integer order. Three recent computational schemes (novel generalized Kudryashov (NKud) method, Khater II (Khat II) method, Sardar Sub-equation (SSE) method) are employed to construct some novel solitary wave solution of the LPDE in various structures. The outcome results are visually demonstrated through some distinct graphs in 2-, 3-dimensional, density, and polar plots to explain some novel properties of the investigated model. Mathematica 13.1 checks all inputs and outputs against the original model for further confidence.

Suggested Citation

  • Khater, Mostafa M.A., 2023. "Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012772
    DOI: 10.1016/j.chaos.2022.113098
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    References listed on IDEAS

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    1. Atangana, Abdon, 2016. "On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 948-956.
    2. Khater, Mostafa M.A. & Mohamed, Mohamed S. & Attia, Raghda A.M., 2021. "On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. Mostafa M. A. Khater & Aliaa Mahfooz Alabdali & Arwa Mashat & Samir A. Salama, 2022. "Optical Soliton Wave Solutions Of The Fractional Complex Paraxial Wave Dynamical Model Along With Kerr Media," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-17, August.
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