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Optical and Quantum Electronics

Erschienen in:

01.05.2024

Dynamical behavior of the fractional generalized nonlinear Schrödinger equation of third-order

verfasst von: Athar I. Ahmed, Mohamed S. Algolam, Clemente Cesarano, Doaa Rizk, F. Gassem, Wael W. Mohammed

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

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Abstract

The generalized nonlinear Schrödinger equation with M-truncated derivatives (GNLSE-MTD) is studied here. By using generalized Riccati equation and mapping methods, new elliptic, hyperbolic, trigonometric, and rational solutions are discovered. Because the GNLSE is widely employed in communication, heat pulse propagation in materials, optical fiber communication systems, and nonlinear optical phenomena, the resulting solutions may be used to analyze a wide variety of important physical phenomena. The dynamic behaviors of the various derived solutions are interpreted using 3-D and 2-D graphs to explain the affects of M-truncated derivatives. We can deduce that the surface shifts to the left when the order of M-truncated derivatives decreases.

Vorheriger Artikel Optical soliton management with higher-order diffraction in a -symmetric nonlinear system

Nächster Artikel Variational principle for generalized unstable and modify unstable nonlinear Schrödinger dynamical equations and their optical soliton solutions

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Titel: Dynamical behavior of the fractional generalized nonlinear Schrödinger equation of third-order
verfasst von: Athar I. Ahmed
Mohamed S. Algolam
Clemente Cesarano
Doaa Rizk
F. Gassem
Wael W. Mohammed
Publikationsdatum: 01.05.2024
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-024-06626-x

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