NONLOCAL

作品数:466被引量:547H指数:9
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相关领域:理学自动化与计算机技术更多>>
相关作者:罗宏姚桂林姚鸿勋李敏刘绍辉更多>>
相关机构:四川师范大学中国科学技术大学兰州理工大学哈尔滨商业大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>
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Nondegenerate and Degenerate Multi-Solitons for the Reverse-Time Nonlocal Nonlinear Schrodinger Model
《Chinese Physics Letters》2025年第4期1-8,共8页Jin-Hao Liu Kai-Li Geng Chao-Qing Dai 
supported by the National Natural Science Foundation of China(Grant Nos.12261131495 and 12475008);the Scientific Research and Developed Fund of Zhejiang A&F University(Grant No.2021FR0009)。
We employ the Hirota bilinear method to systematically derive nondegenerate bright one-and two-soliton solutions,along with degenerate bright-dark two-and four-soliton solutions for the reverse-time nonlocal nonlinear...
关键词:dark solitons nondegenerate breather bound state solitonswith reverse time nonlocal nonlinear Schr dinger equation nondegenerate solitons bright solitons evolution dynamics degenerate solitons Hirota bilinear method 
Size-dependent axisymmetric bending and buckling analysis of functionally graded sandwich Kirchhoff nanoplates using nonlocal strain gradient integral model
《Applied Mathematics and Mechanics(English Edition)》2025年第3期467-484,共18页Chang LI Hai QING 
Project supported by the National Natural Science Foundation of China(No.12172169);the Priority Academic Program Development of Jiangsu Higher Education Institutions。
This paper extends the one-dimensional(1D)nonlocal strain gradient integral model(NStraGIM)to the two-dimensional(2D)Kirchhoff axisymmetric nanoplates,based on nonlocal strain gradient integral relations formulated al...
关键词:size effect nonlocal strain gradient integral model(NStraGIM) BENDING buckling Kirchhoff annular/circular nanoplate functionally graded(FG)sandwich material 
Optical Solitons with Parabolic and Weakly Nonlocal Law of Self-Phase Modulation by Laplace-Adomian Decomposition Method
《Computer Modeling in Engineering & Sciences》2025年第3期2513-2525,共13页Oswaldo González-Gaxiola Anjan Biswas Ahmed H.Arnous Yakup Yildirim 
Computational modeling plays a vital role in advancing our understanding and application of soliton theory.It allows researchers to both simulate and analyze complex soliton phenomena and discover new types of soliton...
关键词:Soliton solutions parabolic law nonlinearity weakly nonlocal Schrödinger equation laplace-adomian decomposition method 
Galerkin-Vlasov approach for bending analysis of flexoelectric doubly-curved sandwich nanoshells with piezoelectric/FGP/piezoelectric layers using the nonlocal strain theory被引量:1
《Acta Mechanica Sinica》2025年第2期7-40,共34页Tran Van Ke Do Van Thom Nguyen Thai Dung Nguyen Van Chinh Phung Van Minh 
This work was supported by the Le Quy Don Technical University Research Fund(Grant No.23.1.11).
Flexoelectricity refers to the link between electrical polarization and strain gradient fields in piezoelectric materials,particularly at the nano-scale.The present investigation aims to comprehensively focus on the s...
关键词:Analytical solution Flexoelectric effect Nonlocal strain gradient theory Static bending of nanoshell 
BIOLOGICAL INVASION PROBLEM WITH FREE BOUNDARY NONLOCAL DIFFUSION EQUATION
《数学杂志》2025年第1期48-56,共9页HE Yu-rong ZHANG Ya-rong 
Supported by National Natural Science Foundation of China(12101482);Postdoctoral Science Foundation of China(2022M722604);General Project of Science and Technology of Shaanxi Province(2023-YBSF-372);The Natural Science Foundation of Shaan Xi Province(2023-JCQN-0016);Shannxi Mathmatical Basic Science Research Project(23JSQ042)。
In order to better describe the phenomenon of biological invasion,this paper introduces a free boundary model of biological invasion.Firstly,the right free boundary is added to the equation with logistic terms.Secondl...
关键词:Free boundary biological invasion differential equation 
PINN for solving forward and inverse problems involving integrable two-dimensional nonlocal equations
《Communications in Theoretical Physics》2025年第2期13-20,共8页Xi Chen Wei-Qi Peng 
In this paper,the physics informed neural network(PINN)deep learning method is applied to solve two-dimensional nonlocal equations,including the partial reverse space y-nonlocal Mel'nikov equation,the partial reverse ...
关键词:two dimensional nonlocal equations PINN soliton solution rogue wave inverse problems 
On the Riemann-Hilbert problem for the reverse space-time nonlocal Hirota equation with step-like initial data
《Communications in Theoretical Physics》2025年第2期30-38,共9页Bei-Bei Hu Ling Zhang Zu-Yi Shen Ji Lin 
supported by the National Natural Science Foundation of China under Grant No.12147115;the Discipline(Subject)Leader Cultivation Project of Universities in Anhui Province under Grant Nos.DTR2023052 and DTR2024046;the Natural Science Research Project of Universities in Anhui Province under Grant No.2024AH040202;the Young Top Notch Talents and Young Scholars of High End Talent Introduction and Cultivation Action Project in Anhui Province;the Scientific Research Foundation Funded Project of Chuzhou University under Grant Nos.2022qd022 and 2022qd038。
In this paper,we use the Riemann-Hilbert(RH)method to investigate the Cauchy problem of the reverse space-time nonlocal Hirota equation with step-like initial data:q(z,0)=o(1)as z→-∞and q(z,0)=δ+o(1)as z→∞,where...
关键词:nonlocal Hirota equation Cauchy problem Riemann-Hilbert problem step-like initial data 
A Review of the Numerical Methods for Diblock Copolymer Melts
《Computers, Materials & Continua》2025年第2期1811-1838,共28页Youngjin Hwang Seungyoon Kang Junseok Kim 
This review paper provides a comprehensive introduction to various numerical methods for the phase-field model used to simulate the phase separation dynamics of diblock copolymer melts.Diblock copolymer systems form c...
关键词:Nonlocal cahn–hilliard PHASE-FIELD diblock copolymer melts Ohta–Kawasaki model numerical methods pattern formation 
Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region
《Science China Mathematics》2025年第2期379-398,共20页Gaozhan Li Yiling Yang Engui Fan 
supported by National Natural Science Foundation of China(Grant Nos.12271104,51879045,12247182).
In this paper,we extend the δ^(-)-steepest descent method to study the Cauchy problem for the nonlocal nonlinear Schrödinger(NNLS)equation with weighted Sobolev initial data iqt+qxx+2σq^(2)(x,t)q(−x,t)=0,q(x,0)=q0(x...
关键词:nonlocal nonlinear Schrödinger equation Riemann-Hilbert problem δ^(-)-steepest descent method soliton resolution 
Dynamics of a predator-prey model with mutation and nonlocal effect
《International Journal of Biomathematics》2024年第8期123-146,共24页Bang-Sheng Han Shao-Yue Mi Miao-Miao Wen Lin Zhao 
supported by the Natural Science Foundation of China(12161052,11801470 and U22A20231);the Natural Science Foundation of Sichuan Province(2022NSFSC1819);the Central Government Funds for Guiding Local Scientific and Technological Development(2021zYD0010);the Fundamental Research Funds for the Central Universities(2682022zTPY080).
The global dynamics of a nonlocal predator-prey model with mutation are investigated in this paper.First,by building a new comparison principle and constructing monotone iterative sequences,we give the existence of th...
关键词:Predator-prey model NONLOCAL MUTATION WELL-POSEDNESS asymptotic behavior 
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