Open AccessSolving Nonlinear Wave Equation Based on Topology
Author(s) -
Liang Song,
Guihua Liu,
Shaodong Chen
Publication year - 2021
Publication title -
international journal of circuits, systems and signal processing
Language(s) - English
Resource type - Journals
ISSN - 1998-4464
DOI - 10.46300/9106.2021.15.134
Subject(s) - nonlinear system , topology (electrical circuits) , mathematics , reciprocity (cultural anthropology) , degree (music) , node (physics) , graph , mathematical analysis , discrete mathematics , physics , psychology , social psychology , combinatorics , quantum mechanics , acoustics
A method of solving nonlinear wave equation based on topology is proposed. Firstly, the characteristics of stochastic graph and Scaleless network are compared, and their topological characteristics are analyzed. Because of the existence of a few axis nodes, Scaleless networks have higher average aggregation than those with the same number of airport nodes and connected stochastic graphs. According to the topological structure of nonlinear wave equation, the first-order integral method is used to solve the nonlinear wave equation. According to the first integration, the threshold range is set, and the solution flow is designed in line with the division theorem. The topology of the network is analyzed according to the node degree, aggregation coefficient and reciprocity of the network, so as to verify and analyze. The experimental results show that the application of this method is 98%, which is still effective for the hyperbolic development equation of the same type.