Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media
Status PubMed-not-MEDLINE Language English Country England, Great Britain Media electronic
Document type Journal Article
PubMed
40320409
PubMed Central
PMC12050334
DOI
10.1038/s41598-025-00100-8
PII: 10.1038/s41598-025-00100-8
Knihovny.cz E-resources
- Keywords
- Chaos, Lyapunov exponent, Multistability, Sensitivity analysis,
- Publication type
- Journal Article MeSH
The research focuses on optical solitons and employs the generalized auxiliary equation technique to obtain soliton resolutions for the nonlinear Kairat-X equation. This equation considers wave number groups influenced by time and velocity dispersion in non-linear mediums. Because of their stability and numerous uses in signal processing, telecommunications, and quantum physics, optical solitons are appreciated. Novel periodic, exponential, and other soliton solutions are shown in the work, and the dynamics of the model are thoroughly examined using phase portraits, quasi-periodic patterns, Lyapunov exponents, 3D attractors, 2D power spectra, and sensitivity analysis. Various simulations show how noise intensity variations affect system sensitivity and instability through the assessment of stochastic sensitivity along with Poincaré, and Lyapunov analysis. These results provide a significant addition to the discipline.
Department of Mathematics University of Engineering and Technology Lahore Pakistan
General Education Centre Quanzhou University of Information Engineering Quanzhou Fujian 362000 China
IT4 Innovations VSB Technical University of Ostrava Ostrava Poruba Czech Republic
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