Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity
| dc.contributor.author | Jhangeer, Adil | |
| dc.contributor.author | Talafha, Abdallah M. | |
| dc.contributor.author | Rahimzai, Ariana Abdul | |
| dc.contributor.author | Říha, Lubomír | |
| dc.date.accessioned | 2026-04-20T10:08:11Z | |
| dc.date.available | 2026-04-20T10:08:11Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this research, a systematic approach is employed to derive novel wave solutions for the coupled nonlinear Schr & ouml;dinger equation. The transformation of the coupled partial differential equation into ordinary differential equation is achieved by utilizing a complex wave variable. Exponential function combinations are applied to construct the wave solutions. The accuracy of the derived solitons is validated through symbolic computations performed in Wolfram Mathematica, accompanied by graphical visualizations of the proposed solutions. The model is converted into a dynamical system, enabling qualitative and sensitivity analysis. Additionally, introducing perturbed terms is examined, revealing chaotic patterns in the system. The impact of variations in amplitude and frequency parameters on the system's dynamical behaviour is thoroughly investigated. The findings underscore the efficiency and reliability of the applied techniques, demonstrating their applicability to a wide range of complex nonlinear systems. | |
| dc.description.issue | 1 | |
| dc.description.source | Web of Science | |
| dc.description.volume | 7 | |
| dc.identifier.citation | Discover Applied Sciences.2025, vol.7, issue 1, art.no. 76. | |
| dc.identifier.doi | 10.1007/s42452-024-06359-2 | |
| dc.identifier.issn | 3004-9261 | |
| dc.identifier.uri | http://hdl.handle.net/10084/158423 | |
| dc.identifier.wos | 001396244200002 | |
| dc.language.iso | en | |
| dc.publisher | Springer Nature | |
| dc.relation.ispartofseries | Discover Applied Sciences | |
| dc.relation.uri | https://link.springer.com/article/10.1007/s42452-024-06359-2?utm_source=getftr&utm_medium=getftr&utm_campaign=getftr_pilot&getft_integrator=clarivate | |
| dc.rights | Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence. | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | non-linear model | |
| dc.subject | sensitivity evaluation | |
| dc.subject | chaotic dynamics | |
| dc.subject | mGERFM | |
| dc.title | Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity | |
| dc.type.status | Peer-reviewed | |
| dc.type.version | publishedVersion | |
| local.files.count | 1 | |
| local.files.size | 4297754 | |
| local.has.files | yes |