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Optical and Quantum Electronics

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01.05.2024

Novel optical solutions to the dispersive extended Schrödinger equation arise in nonlinear optics via two analytical methods

verfasst von: Azad Piro Shakir, Hajar F. Ismael, Haci Mehmet Baskonus

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

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Abstract

The main goal of this paper is to study the higher-order dispersive extended nonlinear Schrödinger equation, which demonstrates the propagation of ultrashort pulses in optical communication networks. In this study, both the sinh-Gordon expansion method and the generalized exponential rational function method are used to offer some novel optical solutions. These optical soliton solutions are dark soliton, bright soliton, singular, periodic, and dark-bright soliton solutions. The obtained optical soliton solutions are presented graphically in 2D and 3D to clarify the behavior of solutions more effectively. The constraint conditions are also used to verify the exitances of the new analytical solutions. Moreover, all solutions compared to solutions obtained previously are new, and all the new wave solutions have verified Eq. (1) after we substituted them into the studied equation. In the future, these novel soliton solutions will be very helpful in developing fluid dynamics, biomedical issues, dynamics of adiabatic parameters, industrial research, and many other areas of science. To our acknowledgment, the presented optical solutions are novel, and also beforehand these methods have not been applied to this studied equation.

Vorheriger Artikel Stability, modulation instability and explicit-analytical solutions for the Hamiltonian amplitude equation

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

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Titel: Novel optical solutions to the dispersive extended Schrödinger equation arise in nonlinear optics via two analytical methods
verfasst von: Azad Piro Shakir
Hajar F. Ismael
Haci Mehmet Baskonus
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/s11082-024-06675-2

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