Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis
Abstract The stochastic chiral nonlinear Schrödinger equation has real life applications in developing advanced optical communication systems, involving description of wave propagation in noisy, chiral fiber networks. In the present study, the $$(2+1)$$ -dimensional stochastic chiral nonlinear Schrö...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-06300-6 |
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| author | Manal Alqhtani Afifa Shahbaz Muhammad Abbas Khaled M. Saad Asnake Birhanu Muhammad Zain Yousaf |
| author_facet | Manal Alqhtani Afifa Shahbaz Muhammad Abbas Khaled M. Saad Asnake Birhanu Muhammad Zain Yousaf |
| author_sort | Manal Alqhtani |
| collection | DOAJ |
| description | Abstract The stochastic chiral nonlinear Schrödinger equation has real life applications in developing advanced optical communication systems, involving description of wave propagation in noisy, chiral fiber networks. In the present study, the $$(2+1)$$ -dimensional stochastic chiral nonlinear Schrödinger equation is investigated using two different formats of the generalized Kudryashov method. A variety of soliton solutions, such as kink, anti-kink, periodic, M-shaped, W-shaped, and V-shaped patterns, are derived, showing the graphical behavior of the system. Achieved solutions are verified with the use of Mathematica software. For further investigation to these solutions, 2D, 3D, and contour graphs are shown to graphically represent the corresponding solutions. Moreover, Bifurcation analysis is performed to investigate the qualitative changes in the dynamics of the system. Chaotic behaviour and sensitivity analysis are also investigated, highlighting the stochastic system’s complexity. Additional determination of chaotic paths is carried out by 2D and 3D graphs and time series analysis. The findings provide valuable theoretical insights into chiral nonlinear systems under unexpected causes and provide useful analytical methods and visual models for future studies in nonlinear wave propagation, optical physics, and complex dynamical systems. |
| format | Article |
| id | doaj-art-8a1728b8a30844f09e96d7263fdc8d3b |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-8a1728b8a30844f09e96d7263fdc8d3b2025-08-20T03:42:49ZengNature PortfolioScientific Reports2045-23222025-07-0115112610.1038/s41598-025-06300-6Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysisManal Alqhtani0Afifa Shahbaz1Muhammad Abbas2Khaled M. Saad3Asnake Birhanu4Muhammad Zain Yousaf5Department of Mathematics, College of Sciences and Arts, Najran UniversityDepartment of Mathematics, University of SargodhaDepartment of Mathematics, University of SargodhaDepartment of Mathematics, College of Sciences and Arts, Najran UniversityDepartment of Mathematics, College of Science, Hawassa UniversityDepartment of Mathematics, University of SargodhaAbstract The stochastic chiral nonlinear Schrödinger equation has real life applications in developing advanced optical communication systems, involving description of wave propagation in noisy, chiral fiber networks. In the present study, the $$(2+1)$$ -dimensional stochastic chiral nonlinear Schrödinger equation is investigated using two different formats of the generalized Kudryashov method. A variety of soliton solutions, such as kink, anti-kink, periodic, M-shaped, W-shaped, and V-shaped patterns, are derived, showing the graphical behavior of the system. Achieved solutions are verified with the use of Mathematica software. For further investigation to these solutions, 2D, 3D, and contour graphs are shown to graphically represent the corresponding solutions. Moreover, Bifurcation analysis is performed to investigate the qualitative changes in the dynamics of the system. Chaotic behaviour and sensitivity analysis are also investigated, highlighting the stochastic system’s complexity. Additional determination of chaotic paths is carried out by 2D and 3D graphs and time series analysis. The findings provide valuable theoretical insights into chiral nonlinear systems under unexpected causes and provide useful analytical methods and visual models for future studies in nonlinear wave propagation, optical physics, and complex dynamical systems.https://doi.org/10.1038/s41598-025-06300-6Stochastic Chiral nonlinear Schrödinger equationGeneralized Kudryashov MethodBifurcation analysisChaotic & Sensitivity AnalysisSolitons. |
| spellingShingle | Manal Alqhtani Afifa Shahbaz Muhammad Abbas Khaled M. Saad Asnake Birhanu Muhammad Zain Yousaf Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis Scientific Reports Stochastic Chiral nonlinear Schrödinger equation Generalized Kudryashov Method Bifurcation analysis Chaotic & Sensitivity Analysis Solitons. |
| title | Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis |
| title_full | Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis |
| title_fullStr | Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis |
| title_full_unstemmed | Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis |
| title_short | Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis |
| title_sort | investigation of soliton solutions to the 2 1 dimensional stochastic chiral nonlinear schrodinger equation with bifurcation sensitivity and chaotic analysis |
| topic | Stochastic Chiral nonlinear Schrödinger equation Generalized Kudryashov Method Bifurcation analysis Chaotic & Sensitivity Analysis Solitons. |
| url | https://doi.org/10.1038/s41598-025-06300-6 |
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