A behavioral propagation and competition model based on pressure

The solutions to many problems on complex networks depend on the calculation of the similarity between nodes. The existing methods face the problems of the lack of hierarchical information richness or large computational requirements. In order to flexibly analyze the similarity of nodes on an optional multi-order scale as needed, we propose a novel method for calculating the similarity based on the relative entropy of [Formula: see text]-order edge capacity in this paper. The distribution of edges affects the network heterogeneity, information propagation, node centrality and so on. Entropy of [Formula: see text]-order edge capacity can represent the edge distribution feature in the range of [Formula: see text]-order of node. It increases as [Formula: see text] increases and converges at the eccentricity of the node. Relative entropy of [Formula: see text]-order edge capacity can be used to compare the similarity of edge distribution between nodes within [Formula: see text]-order. As order [Formula: see text] increases, upper bound of the relative entropy possibly increases. Relative entropy gets the maximum when nodes compared with isolated nodes. By quantifying the effect difference of the most similar nodes on the network structure and information propagation, we compared relative entropy of [Formula: see text]-order edge capacity with some major similarity methods in the experiments, combined with visual analysis. The results show the rationality and effectiveness of the proposed method.

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A study of resonance Y-type multi-soliton solutions and soliton molecules for new (2+1)-dimensional nonlinear wave equations

Kuo

Kumar

Juan

2022

MATH

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<abstract> <p>In this study, a fourth-order nonlinear wave equation with variable coefficients was investigated. Through appropriate choice of the free parameters and using the simplified linear superposition principle (LSP) and velocity resonance (VR), the examined equation can be considered as Hirota–Satsuma–Ito, Calogero–Bogoyavlenskii–Schiff and Jimbo–Miwa equations. The main objective of this study was to obtain novel resonant multi-soliton solutions and investigate inelastic interactions of traveling waves for the above-mentioned equation. Novel resonant multi-soliton solutions along with their essential conditions were obtained by using simplified LSP, and the conditions guaranteed the existence of resonant solitons. Furthermore, the obtained solutions were used to investigate the dynamic and fission behavior of Y-type multi-soliton waves. For an accurate investigation of physical phenomena, appropriate free parameters were chosen to ascertain the impact on the speed of traveling waves and the initiation time of fission. Three-dimensional and contour plots of the obtained solutions are presented in <xref ref-type="fig" rid="Figure1">Figures 1</xref>–<xref ref-type="fig" rid="Figure6">6</xref>. Additionally, two nonlinear equations were formulated and investigated using VR, and the related soliton molecules were simultaneously extracted. The reported resonant Y-type multi-soliton waves and equations are new and have not been previously investigated. They can be used to explain modeled physical phenomena and can provide information about dynamic behavior of shallow water waves.</p> </abstract>

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A behavioral propagation and competition model based on pressure

Cited by 3 publications

References 39 publications

DMHANT: DropMessage Hypergraph Attention Network for Information Propagation Prediction

DMHANT: DropMessage Hypergraph Attention Network for Information Propagation Prediction

Relative entropy of k-order edge capacity for nodes similarity analysis

A study of resonance Y-type multi-soliton solutions and soliton molecules for new (2+1)-dimensional nonlinear wave equations

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