Exploring the dynamics of multiplicative noise on the fractional stochastic Fokas-Lenells equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257937" target="_blank" >RIV/61989100:27740/25:10257937 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2666818125001597" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2666818125001597</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.padiff.2025.101232" target="_blank" >10.1016/j.padiff.2025.101232</a>
Alternative languages
Result language
angličtina
Original language name
Exploring the dynamics of multiplicative noise on the fractional stochastic Fokas-Lenells equation
Original language description
In this study, the fractional-stochastic Fokas-Lenells equation is considered in the Stratonovich framework. The new extended direct algebraic method is applied to construct various types of fractional solutions, including trigonometric, complex, hyperbolic, and exponential forms. Given the equation's broad applications in telecommunication systems, complex system theory, quantum field theory, and quantum mechanics, the derived solutions have potential to model a variety of significant physical phenomena. To further illustrate the influence of multiplicative noise and fractional derivatives, multiple 3D plots are presented, highlighting their impact on the analytical behavior of the system. Secondly, by applying a Galilean transformation, the model is reformulated into a planar dynamical system, allowing for in-depth qualitative analysis. The sensitivity analysis of the model is performed, along with an examination of quasi-periodic patterns emerging from perturbations. The simulation results reveal that adjusting the amplitude and frequency parameters significantly alters the dynamic behavior of the system. The quasi-periodic behavior is further analyzed through time analysis, multi-stability, and Lyapunov exponents. Our results highlight the impact of the method on system dynamics and demonstrate its effectiveness in studying solitons and phase behavior in nonlinear models. These findings offer new insights into how the proposed approach can induce significant changes in system dynamics, emphasizing its utility in the analysis of soliton solutions and phase visualizations in various nonlinear models. By generating state-dependent oscillations, multiplicative noise has a substantial impact on the dynamics of the system. These fluctuations can either improve or decrease stability and result in complicated behaviors. The completion of stochastic systems affected by internal or external noise sources requires an understanding of this interaction. © 2025 The Author(s)
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Partial Differential Equations in Applied Mathematics
ISSN
2666-8181
e-ISSN
2666-8181
Volume of the periodical
14
Issue of the periodical within the volume
June
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
9
Pages from-to
101232
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-105007529978