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...
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...
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...
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...
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...
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 ...
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...
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...
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...
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...