Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation
Abstract This work constructs the distinct type of solitons solutions to the nonlinear Perturbed Gerdjikov-Ivanov (PGI) equation with Atangana’s derivative. It interprets its optical soliton solutions in the existence of high-order dispersion. For this purpose, a wave transformation is applied to co...
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Nature Portfolio
2025-08-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-09571-1 |
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| author | Muhammad Shakeel Fehaid Salem Alshammari Hameed Gul Ahmadzai |
| author_facet | Muhammad Shakeel Fehaid Salem Alshammari Hameed Gul Ahmadzai |
| author_sort | Muhammad Shakeel |
| collection | DOAJ |
| description | Abstract This work constructs the distinct type of solitons solutions to the nonlinear Perturbed Gerdjikov-Ivanov (PGI) equation with Atangana’s derivative. It interprets its optical soliton solutions in the existence of high-order dispersion. For this purpose, a wave transformation is applied to convert the fractional PGI Equation to a non-linear ODE. Solitons solutions and further solutions of the obtained model are sorted out by using the Sardar sub-equation (SSE) method and the generalized unified method. The different types of soliton solutions such as bright, kink, periodic, and exact dark solitons are achieved. Dynamical and sensitivity analysis is carried out for the obtained results. 3D, 2D, and contour graphs of attained solutions are presented for elaboration. Nonlinear model have played an important role in optic fibber, optical communications and optical sensing. |
| format | Article |
| id | doaj-art-2140dd1f6ce2483d9016d0d98ffacfaa |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-2140dd1f6ce2483d9016d0d98ffacfaa2025-08-24T11:18:48ZengNature PortfolioScientific Reports2045-23222025-08-0115111810.1038/s41598-025-09571-1Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equationMuhammad Shakeel0Fehaid Salem Alshammari1Hameed Gul Ahmadzai2School of Mathematics and Statistics, Central South UniversityDepartment of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU)Paktia UniversityAbstract This work constructs the distinct type of solitons solutions to the nonlinear Perturbed Gerdjikov-Ivanov (PGI) equation with Atangana’s derivative. It interprets its optical soliton solutions in the existence of high-order dispersion. For this purpose, a wave transformation is applied to convert the fractional PGI Equation to a non-linear ODE. Solitons solutions and further solutions of the obtained model are sorted out by using the Sardar sub-equation (SSE) method and the generalized unified method. The different types of soliton solutions such as bright, kink, periodic, and exact dark solitons are achieved. Dynamical and sensitivity analysis is carried out for the obtained results. 3D, 2D, and contour graphs of attained solutions are presented for elaboration. Nonlinear model have played an important role in optic fibber, optical communications and optical sensing.https://doi.org/10.1038/s41598-025-09571-1Perturbed Gerdjikov–Ivanov equationAtangana’s conformable derivativeSardar sub-equation methodGeneralized unified methodOptical soliton solutions |
| spellingShingle | Muhammad Shakeel Fehaid Salem Alshammari Hameed Gul Ahmadzai Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation Scientific Reports Perturbed Gerdjikov–Ivanov equation Atangana’s conformable derivative Sardar sub-equation method Generalized unified method Optical soliton solutions |
| title | Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation |
| title_full | Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation |
| title_fullStr | Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation |
| title_full_unstemmed | Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation |
| title_short | Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation |
| title_sort | optical soliton solutions dynamical and sensitivity analysis for fractional perturbed gerdjikov ivanov equation |
| topic | Perturbed Gerdjikov–Ivanov equation Atangana’s conformable derivative Sardar sub-equation method Generalized unified method Optical soliton solutions |
| url | https://doi.org/10.1038/s41598-025-09571-1 |
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