Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method
The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic power law of nonlinearity with the help of the i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-01-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447923001569 |
| _version_ | 1797345975549820928 |
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| author | Islam Samir Hamdy M. Ahmed Adel Darwish Hisham H. Hussein |
| author_facet | Islam Samir Hamdy M. Ahmed Adel Darwish Hisham H. Hussein |
| author_sort | Islam Samir |
| collection | DOAJ |
| description | The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic power law of nonlinearity with the help of the improved modified extended tanh-function scheme. New families of solutions, such as dark solitons, singular solitons, rational solutions, periodic solutions and exponential type solutions, have been extracted. Extracted solutions will be useful in the development of the communication systems. Furthermore, some solutions are graphically depicted to demonstrate their physical nature by using distinct values of the parameters. |
| first_indexed | 2024-03-08T11:25:32Z |
| format | Article |
| id | doaj.art-244931d6ecf240bf8bec090786bd2d78 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-03-08T11:25:32Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-244931d6ecf240bf8bec090786bd2d782024-01-26T05:32:52ZengElsevierAin Shams Engineering Journal2090-44792024-01-01151102267Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function methodIslam Samir0Hamdy M. Ahmed1Adel Darwish2Hisham H. Hussein3Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, EgyptDepartment of Physics and Engineering Mathematics, Higher Institute of Engineering El Shorouk Academy, Cairo, Egypt; Corresponding author.Department of Mathematics, Faculty of Science, Helwan University, Cairo, EgyptFaculty of Mathematics and Computational Sciences, Universities of Canada in Egypt, New Administrative Capital, EgyptThe higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic power law of nonlinearity with the help of the improved modified extended tanh-function scheme. New families of solutions, such as dark solitons, singular solitons, rational solutions, periodic solutions and exponential type solutions, have been extracted. Extracted solutions will be useful in the development of the communication systems. Furthermore, some solutions are graphically depicted to demonstrate their physical nature by using distinct values of the parameters.http://www.sciencedirect.com/science/article/pii/S2090447923001569SolitonsPeriodic solutionsHigher order dispersionSextic power law of nonlinearity |
| spellingShingle | Islam Samir Hamdy M. Ahmed Adel Darwish Hisham H. Hussein Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method Ain Shams Engineering Journal Solitons Periodic solutions Higher order dispersion Sextic power law of nonlinearity |
| title | Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method |
| title_full | Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method |
| title_fullStr | Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method |
| title_full_unstemmed | Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method |
| title_short | Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method |
| title_sort | dynamical behaviors of solitons for nlse with kudryashov s sextic power law of nonlinear refractive index using improved modified extended tanh function method |
| topic | Solitons Periodic solutions Higher order dispersion Sextic power law of nonlinearity |
| url | http://www.sciencedirect.com/science/article/pii/S2090447923001569 |
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