Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257902" target="_blank" >RIV/61989100:27740/25:10257902 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.nature.com/articles/s41598-025-00100-8" target="_blank" >https://www.nature.com/articles/s41598-025-00100-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s41598-025-00100-8" target="_blank" >10.1038/s41598-025-00100-8</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media
Popis výsledku v původním jazyce
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 Poincar & eacute;, and Lyapunov analysis. These results provide a significant addition to the discipline.
Název v anglickém jazyce
Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media
Popis výsledku anglicky
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 Poincar & eacute;, and Lyapunov analysis. These results provide a significant addition to the discipline.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10100 - Mathematics
Návaznosti výsledku
Projekt
—
Návaznosti
O - Projekt operacniho programu
Ostatní
Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Scientific Reports
ISSN
2045-2322
e-ISSN
2045-2322
Svazek periodika
15
Číslo periodika v rámci svazku
1
Stát vydavatele periodika
GB - Spojené království Velké Británie a Severního Irska
Počet stran výsledku
29
Strana od-do
15562
Kód UT WoS článku
001481207400021
EID výsledku v databázi Scopus
2-s2.0-105004197344