article · Alexandria Engineering Journal
The Fokas system models wave dynamics inside single-mode optical fibres. This mathematical study investigates the behaviour of waves using the Painlevé approach alongside the semi-inverse variational principle. Through these methods, several types of optical solitons are derived, including dark, bright, kink, and periodic solitary waves, along with the precise constraint conditions required for these solutions to exist. Phase portraits illustrate the theoretical outcomes. In addition, bifurcation and chaos theories provide insight into the corresponding planar dynamical system, allowing chaotic solutions of the perturbed system to be identified and visualised. Sensitivity analysis indicates that the model is stable and not overly sensitive to initial disturbances. Overall, the approach provides symbolic computational tools to examine nonlinear wave behaviour, offering insights that support further work on reliability control in optical fibre systems.
Understanding how light pulses travel through single-mode optical fibres is fundamental to telecommunications. By identifying different wave patterns and mapping out conditions where signals remain stable rather than turning chaotic, mathematical models assist researchers in analysing signal stability and exploring reliability control across fibre-optic communication networks.
This work represents early-stage theoretical and mathematical research. It could potentially assist academic researchers and optical engineers interested in signal reliability and nonlinear wave control in single-mode fibre-optic communications. As the abstract focuses entirely on symbolic computations and numerical analysis, practical implementation remains distant, requiring laboratory validation and applied engineering before commercial applications can emerge.
AI-generated from the published abstract. Always read the original work before citing.
In this research, the model under consideration is the Fokas system that simulates the dynamics of wave through single mode fiber optics. Dark, bright, kink and periodic optical solitons are yielded using Painlevé approach and semi-inverse variational principle. The constraint conditions for the existence of the solutions also merge during the derivation. The obtained solutions are discussed to depict and support theoretical outcomes through the phase portraits. Further, we have applied the idea of bifurcation and chaos theories to get a better understanding of the planar dynamical system obtained from the studied system. The chaotic solutions for the perturbed dynamical system are also obtained and displayed through graphs. The sensitivity analysis of the model is also investigated, and the results show that the given model is not highly sensitive and is stable. These unique ideas employ symbolic computations to provide dynamical as well as potent mathematical tool related to tackling diverse benign nonlinear wave problems. The dynamics analysis method and numerical results are meaningful and helpful to further study on the reliability control of Fokas system.
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.1016/j.aej.2022.12.069
Is something wrong with this record? Report it or request removal.
Discussion
Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.
No discussion yet. Open the first thread.
New to MARATTO™? Create a free account.
