Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves
The nonlinearity form of the Schrödinger equation (NLSE) gives a sterling account for energy and solitary transmission properties in modern communications with optical-fiber energ- reinforcement actions. The solitary representation during fiber transmissions was regulated by NLSE coefficients such a...
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MDPI AG
2023-01-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/2/127 |
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| author | H. G. Abdelwahed A. F. Alsarhana E. K. El-Shewy Mahmoud A. E. Abdelrahman |
| author_facet | H. G. Abdelwahed A. F. Alsarhana E. K. El-Shewy Mahmoud A. E. Abdelrahman |
| author_sort | H. G. Abdelwahed |
| collection | DOAJ |
| description | The nonlinearity form of the Schrödinger equation (NLSE) gives a sterling account for energy and solitary transmission properties in modern communications with optical-fiber energ- reinforcement actions. The solitary representation during fiber transmissions was regulated by NLSE coefficients such as nonlinear Kerr, evolutions, and dispersions, which controlled the energy changes through the model. Sometimes, the energy values predicted from the NLSEs computations may diverge due to variations in the amplitude and width caused by scattering, dispersive, and dissipative features of fiber materials. Higher-order nonlinear Schrödinger equations (HONLSEs) should be explored to alleviate these implications in energy and wave features. The unified solver approach is employed in this work to evaluate the HONLSEs. Steepness, HO dispersions, and nonlinearity self-frequency influences have been taken into consideration. The energy and solitary features were altered by higher-order actions. The unified solver approach is employed in this work to reform the HONLSE solutions and its energy properties. The steepness, HO dispersions, and nonlinearity self-frequency influences have been taken into consideration. The energy and soliton features in the investigated model were altered by the higher-order impacts. Furthermore, the new HONLSE solutions explain a wide range of important complex phenomena in wave energy and its applications. |
| first_indexed | 2024-03-11T08:48:28Z |
| format | Article |
| id | doaj.art-00873e6193bf499cbe08b6dfc761a21b |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T08:48:28Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-00873e6193bf499cbe08b6dfc761a21b2023-11-16T20:36:22ZengMDPI AGFractal and Fractional2504-31102023-01-017212710.3390/fractalfract7020127Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge WavesH. G. Abdelwahed0A. F. Alsarhana1E. K. El-Shewy2Mahmoud A. E. Abdelrahman3Department of Physics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al- Kharj 11942, Saudi ArabiaDepartment of Physics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al- Kharj 11942, Saudi ArabiaTheoretical Physics Group, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi ArabiaThe nonlinearity form of the Schrödinger equation (NLSE) gives a sterling account for energy and solitary transmission properties in modern communications with optical-fiber energ- reinforcement actions. The solitary representation during fiber transmissions was regulated by NLSE coefficients such as nonlinear Kerr, evolutions, and dispersions, which controlled the energy changes through the model. Sometimes, the energy values predicted from the NLSEs computations may diverge due to variations in the amplitude and width caused by scattering, dispersive, and dissipative features of fiber materials. Higher-order nonlinear Schrödinger equations (HONLSEs) should be explored to alleviate these implications in energy and wave features. The unified solver approach is employed in this work to evaluate the HONLSEs. Steepness, HO dispersions, and nonlinearity self-frequency influences have been taken into consideration. The energy and solitary features were altered by higher-order actions. The unified solver approach is employed in this work to reform the HONLSE solutions and its energy properties. The steepness, HO dispersions, and nonlinearity self-frequency influences have been taken into consideration. The energy and soliton features in the investigated model were altered by the higher-order impacts. Furthermore, the new HONLSE solutions explain a wide range of important complex phenomena in wave energy and its applications.https://www.mdpi.com/2504-3110/7/2/127higher-order nonlinear Schrödinger equationsoptical super solitonhuge wavessuper huge structure |
| spellingShingle | H. G. Abdelwahed A. F. Alsarhana E. K. El-Shewy Mahmoud A. E. Abdelrahman Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves Fractal and Fractional higher-order nonlinear Schrödinger equations optical super soliton huge waves super huge structure |
| title | Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves |
| title_full | Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves |
| title_fullStr | Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves |
| title_full_unstemmed | Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves |
| title_short | Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves |
| title_sort | higher order dispersive and nonlinearity modulations on the propagating optical solitary breather and super huge waves |
| topic | higher-order nonlinear Schrödinger equations optical super soliton huge waves super huge structure |
| url | https://www.mdpi.com/2504-3110/7/2/127 |
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