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Riemann-Hilbert Problem and Multiple High-order Poles Solutions of the Focusing mKdV Equation with Nonzero Boundary Conditions: 《Acta Mathematicae Applicatae Sinica》2025年第1期234-251,共18页Zi-yi WANG Shou-fu TIAN Jin-jie YANG; supported by the National Natural Science Foundation of China(Nos.12371255 and 11975306);the Natural Science Foundation of Jiangsu Province(No.BK20181351);the Six Talent Peaks Project in Jiangsu Province(No.JY-059);the 333 Project in Jiangsu Province;the Fundamental Research Fund for the Central Universities(Nos.2019ZDPY07);the Graduate Innovation Program of China University of Mining and Technology(No.2022WLJCRCZL139).; The focusing modified Korteweg-de Vries(mKdV)equation with multiple high-order poles under the nonzero boundary conditions is first investigated via developing a Riemann-Hilbert(RH)approach.We begin with the asymptoti...; 关键词：Riemann-Hilbert approach focusing mKdV equation nonzero boundary conditions multiple high-order poles soliton solutions

Iterated rational quadratic kernel-High-order unscented Kalman filtering algorithm for spacecraft tracking: 《Defence Technology(防务技术)》2025年第3期238-250,共13页Xinru Liang Changsheng Gao Wuxing Jing Ruoming An; supported by the National Natural Science Foundation of China under Grant No.12072090.; The high-speed development of space defense technology demands a high state estimation capacity for spacecraft tracking methods.However,reentry flight is accompanied by complex flight environments,which brings to the ...; 关键词：Kernel method Rational quadratic(RQ)kernel High-order sigma points SPACECRAFT Reentry vehicles

Two-Step Asymmetric Perfectly Matched Layer Model for High-Order Spatial FDTD Solver of 2D Maxwell’s Equations: 《Journal of Applied Mathematics and Physics》2025年第2期553-566,共14页Abdelrahman Mahdy; We implemented a two-step Asymmetric Perfectly Matched Layer (APML) model in High-Order Finite Difference Time Domain (FDTD) algorithm for solving two-dimensional Maxwell’s equations. Initially, we applied the APML m...; 关键词：Perfectly Matched Layer The Finite-Difference-Time-Domain Terahertz Radiation Production Filamentation of Femtosecond Laser Maxwell’s Equations Solver

Time-varying spillovers in high-order moments among cryptocurrencies: 《Financial Innovation》2024年第1期2070-2108,共39页Asil Azimli; This study uses high-frequency(1-min)price data to examine the connectedness among the leading cryptocurrencies(i.e.Bitcoin,Ethereum,Binance,Cardano,Litecoin,and Ripple)at volatility and high-order(third and fourth or...; 关键词：SPILLOVERS High-order moments SKEWNESS KURTOSIS Cryptocurrencies

Mean-square prescribed finite-time output consensus of high-order linear multi-agent systems: 《Science China(Information Sciences)》2024年第12期321-322,共2页Qingpeng LIANG Deqing HUANG Lei MA Jiangping HU Yanzhi WU; supported in part by the National Natural Science Foundation of China (Grant Nos.62103341,62473322);the Natural Science Foundation of Sichuan Province (Grant No.2024NSFSC0512)。; This study addresses a mean-square prescribed finite-time output consensus problem of high-order linear multi-agent systems with communication noises and thus further generalizes the results in [1–4]. The main contri...; 关键词：function PRESCRIBED FINITE

Solitary,periodic,kink wave solutions of a perturbed high-order nonlinear Schrödinger equation via bifurcation theory: 《Propulsion and Power Research》2024年第3期433-444,共12页Qiancheng Ouyang Zaiyun Zhang Qiong Wang Wenjing Ling Pengcheng Zou Xinping Li; supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297;Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365;Hunan Province Graduate Research Innovation,China Project No.CX20231208;Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15).; In this paper,by using the bifurcation theory for dynamical system,we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlin-earity.Firstly,based on wave variables,the ...; 关键词：Traveling wave solution High-order nonlinear Schrödinger equation Bifurcation theory Dynamical system Hamiltonian system

High-Order Solitons and Hybrid Behavior of (3 + 1)-Dimensional Potential Yu-Toda-Sasa-Fukuyama Equation with Variable Coefficients: 《Journal of Applied Mathematics and Physics》2024年第8期2738-2763,共26页Xiyu Tan Xingying Li; In this paper, some exact solutions of the (3 + 1)-dimensional variable-coefficient Yu-Toda-Sasa-Fukuyama equation are investigated. By using Hirota’s direct method and symbolic computation, we obtained N-soliton sol...; 关键词：Variable-Coefficient YTSF Equation Hirota Bilinear Method N-SOLITON Hybrid Solution

High-Order Soliton Solutions and Hybrid Behavior for the (2 + 1)-Dimensional Konopelchenko-Dubrovsky Equations: 《Journal of Applied Mathematics and Physics》2024年第7期2452-2466,共15页Xingying Li Yin Ji; In this paper, the evolutionary behavior of N-solitons for a (2 + 1)-dimensional Konopelchenko-Dubrovsky equations is studied by using the Hirota bilinear method and the long wave limit method. Based on the N-soliton ...; 关键词：Konopelchenko-Dubrovsky Equations Hirota Bilinear Method M-Order Lump Solutions High-Order Hybrid Solutions Interaction Behavior

High-order Soliton Matrix for the Third-order Flow Equation of the Gerdjikov-Ivanov Hierarchy Through the Riemann-Hilbert Method: 《Acta Mathematicae Applicatae Sinica》2024年第2期358-378,共21页Jin-yan ZHU Yong CHEN; supported by the National Natural Science Foundation of China(No.12175069 and No.12235007);Science and Technology Commission of Shanghai Municipality(No.21JC1402500 and No.22DZ2229014);Natural Science Foundation of Shanghai,China(No.23ZR1418100).; The Gerdjikov-Ivanov(GI)hierarchy is derived via recursion operator,in this article,we mainly investigate the third-order flow GI equation.In the framework of the Riemann-Hilbert method,the soliton matrices of the thi...; 关键词：Gerdjikov-Ivanov hierarchy third-order flow GI equation Riemann-Hilbert method high-order soliton

A novel complex-high-order graph convolutional network paradigm:ChyGCN: 《Chinese Physics B》2024年第5期665-672,共8页郑和翔苗书宇顾长贵; Project supported by the National Natural Science Foundation of China(Grant Nos.12275179 and 11875042);the Natural Science Foundation of Shanghai Municipality,China(Grant No.21ZR1443900)。; In recent years,there has been a growing interest in graph convolutional networks(GCN).However,existing GCN and variants are predominantly based on simple graph or hypergraph structures,which restricts their ability t...; 关键词：raph convolutional network complex modeling complex hypergraph

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