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Exact analytical investigation of the third‑order nonlinear Schrödinger equation that describes light transmission in optical fiber
Faculty
Science
Year:
2025
Type of Publication:
ZU Hosted
Pages:
17
Authors:
Maha Shehata Mohamed Shehata
Staff Zu Site
Abstract In Staff Site
Journal:
Optical and Quantum Electronics springer naturae
Volume:
Keywords :
Exact analytical investigation , , third‑order nonlinear Schrödinger equation
Abstract:
The main objective of our study is to explore the arising ultra-short pulses forms from the Third-Order Nonlinear Schrödinger Equation. This equation is considered the famous one that modeling optics fiber pulses, specially describes the light transmission in optical fiber. Throughout the mentioned equation we can determine the exact effect of the Ultra- Short Pulses generations and its dynamical Behaviors on the optical fibers light transmission. We will utilize five various impressive techniques that have various tools in its preparation and weren’t applied before for this target. These suggested techniques are the Generalized Kudryashov Technique, the (G’/G)-Expansion Technique, the Paul-Painlevé Approach Technique, the Extended Simple Equation Method Technique and the Ricatti- Bernoulli-Sub-Ordinary Differential Technique. The influences of generated ultra-short pulses on the Optical Fibers Light Transmission via the five techniques have been documented. The extracted ultra-short pulses behaviors via the proposed techniques appeared in forms like hyperbolic function soliton solution, singular soliton solution and other rational soliton solution. The 2D, 3D figures that show ultra-short pulses dynamical behaviors are presented.
Author Related Publications
Maha Shehata Mohamed Shehata, "Comparison between the new exact and numerical solutions of the Mikhailov–Novikov–Wang equation", Wiley, 2021
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Maha Shehata Mohamed Shehata, "Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques", Gravitation, Mathematical Physics and Field Theory Revista Mexicana de F´ısica, 2021
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Maha Shehata Mohamed Shehata, "Exact propagation of the isolated waves model described by the three coupled nonlinear Maccari's system with complex structure", © World Scientic Publishing Company, 2021
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Maha Shehata Mohamed Shehata, "Study on abundant explicit wave solutions of the thin‑film Ferro‑electric materials equation", Springer, 2021
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Maha Shehata Mohamed Shehata, "Study on abundant explicit wave solutions of the thin‑film Ferro‑electric materials equation", Springer, 2021
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Department Related Publications
Zainab AbdelFattah AbdulJalil Mustafa, "CONVERGENCE OF INTUITIONISTIC FUZZY FILTERS IN SYNTOPOGENOUS INTUITIONISTIC FUZZY STRUCTURES", Masland press -Marsland company, 2013
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Huda Ibrahim Sayed Ahmad, "The two variable (G'/G,1/G) -expansion method for finding exact traveling wave solutions of the (3+1) - dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama equation", الصين, 2013
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Hassan Mostafa Metwally, "Common fixed point theorems in intuitionisits fuzzy Metric Spaces under Compatible Mappings of Type β", Los Angeles, 2011
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Hassan Mostafa Metwally, "Finite information systems", Dixie W Publishing Corporation, U. S. A, 2007
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