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

01.05.2024

Generating optical solitons in the extended (3 + 1)-dimensional nonlinear Kudryashov’s equation using the extended F-expansion method

verfasst von: Wafaa B. Rabie, Hamdy M. Ahmed, Mir Sajjad Hashemi, Mohammad Mirzazadeh, Mustafa Bayram

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

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Abstract

This study centers on examining the characteristics of the recently extended \((3+1)\)-dimensional nonlinear equation proposed by Kudryashov. The extended F-expansion technique is employed to derive solitons and other exact wave solutions for this model. Applying this technique results in a diverse set of solutions, encompassing bright solitons, dark solitons, singular solitons, hyperbolic solutions, periodic solutions, singular periodic solutions, exponential solutions, rational solutions, and solutions involving Jacobi elliptic functions (JEF). This method proves to be a dependable and efficient approach for obtaining exact solutions for various nonlinear partial differential equations (NPDE). Visual representations through graphical illustrations are provided to depict the dynamics of selected solutions, and the influence of the parameter n on the obtained solutions is scrutinized and presented in pertinent figures. These discoveries not only advance our comprehension of nonlinear wave phenomena but also hold practical significance for fields related to wave propagation, nonlinear optics, and optical systems.
Vorheriger Artikel Highly efficient channeling of single photons into guided modes of optical nanocapillary fibers
Nächster Artikel Soliton solutions in (2 + 1)-dimensional integrable spin systems: an investigation of the Myrzakulov–Lakshmanan equation-II

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Metadaten
Titel
Generating optical solitons in the extended (3 + 1)-dimensional nonlinear Kudryashov’s equation using the extended F-expansion method
verfasst von
Wafaa B. Rabie
Hamdy M. Ahmed
Mir Sajjad Hashemi
Mohammad Mirzazadeh
Mustafa Bayram
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/s11082-024-06787-9

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