Voltammetry for quantitative determination of trace mercury ions in water via acetylene black modified carbon paste electrode

Yang, Zichun

doi:10.1016/j.aej.2023.12.007

Cited by 8 publications

(2 citation statements)

References 52 publications

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“…For the value of k 1 and λ, the right-hand side of Equation (52) gives us the negative value, which shows that any combination of the soliton solutions demonstrates a decaying pattern. Finally, Equation (52) confirms that any arrangement of the outcomes appears to decay. This reveals a stable dispersion of the model.…”

Section: Modulation Instabilitymentioning

confidence: 99%

“…Andrew Kay invented nonlinear systems in 1952. Analysis of phase profiles of bifurcation, sensitivity, stability, and modulation instability is being used in nonlinear physical models more and more in recent decades [49][50][51][52][53]. In dynamical systems theory, bifurcation analysis, which includes phase portraiture, is a method for examining how a system's behavior varies with changes in parameters.…”

Section: Introductionmentioning

confidence: 99%

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Abundant Closed-Form Soliton Solutions to the Fractional Stochastic Kraenkel–Manna–Merle System with Bifurcation, Chaotic, Sensitivity, and Modulation Instability Analysis

Borhan,

Miah,

Alsharif

et al. 2024

Fractal Fract

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An essential mathematical structure that demonstrates the nonlinear short-wave movement across the ferromagnetic materials having zero conductivity in an exterior region is known as the fractional stochastic Kraenkel–Manna–Merle system. In this article, we extract abundant wave structure closed-form soliton solutions to the fractional stochastic Kraenkel–Manna–Merle system with some important analyses, such as bifurcation analysis, chaotic behaviors, sensitivity, and modulation instability. This fractional system renders a substantial impact on signal transmission, information systems, control theory, condensed matter physics, dynamics of chemical reactions, optical fiber communication, electromagnetism, image analysis, species coexistence, speech recognition, financial market behavior, etc. The Sardar sub-equation approach was implemented to generate several genuine innovative closed-form soliton solutions. Additionally, phase portraiture of bifurcation analysis, chaotic behaviors, sensitivity, and modulation instability were employed to monitor the qualitative characteristics of the dynamical system. A certain number of the accumulated outcomes were graphed, including singular shape, kink-shaped, soliton-shaped, and dark kink-shaped soliton in terms of 3D and contour plots to better understand the physical mechanisms of fractional system. The results show that the proposed methodology with analysis in comparison with the other methods is very structured, simple, and extremely successful in analyzing the behavior of nonlinear evolution equations in the field of fractional PDEs. Assessments from this study can be utilized to provide theoretical advice for improving the fidelity and efficiency of soliton dissemination.

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Section: Modulation Instabilitymentioning

confidence: 99%