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Communications in Theoretical Physics 2010年第1期53卷 37-42页

作者：苏敬蕊张顺利李吉娜 center for nonlinear studies Department of Mathematics Northwest University center of nonlinear science Ningbo University

In terms of our new exact definition of partial Lagrangian and approximate Euler-Lagrange-type equation, we investigate the nonlinear wave equation with damping via approximate Noether-type symmetry operators associat... 详细信息

关键词： approximate Noether-type symmetry partial Lagrangian approximate conservation law

Approximate Derivative-Dependent Functional Variable Separation for the Generalized Diffusion Equations with Perturbation

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Communications in Theoretical Physics 2012年第8期58卷 175-181页

作者：张顺利吉飞宇屈长征 center for nonlinear studies Department of Mathematics Northwest University center of nonlinear science Ningbo University

As an extension to the derivative-dependent functional variable separation approach, the approximate derivative-dependent functional variable separation approach is proposed, and it is applied to study the generalized diffusion equations with perturbation. Complete classification of these perturbed equations which admit approximate derivative-dependent functional separable solutions is obtained. As a result, the corresponding approximate derivative-dependent functional separable solutions to some resulting perturbed equations are derived by way of examples.

关键词： generalized diffusion equation approximate derivative-dependent functional separable solution approximate generalized conditional symmetry

Symmetry Reductions of Cauchy Problems for Fourth-Order Quasi-Linear Parabolic Equations

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Communications in Theoretical Physics 2010年第1期53卷 28-36页

作者：李吉娜张顺利苏敬蕊 center for nonlinear studies Department of Mathematics Northwest University center of nonlinear science Ningbo University

This paper is devoted to studying symmetry reduction of Cauchy problems for the fourth-order quasi-linear parabolic equations that admit certain generalized conditional symmetries （GCSs）. Complete group classificati... 详细信息

关键词： fourth-order quasi-linear parabolic equation symmetry reduction Cauchy problem

Peaked Traveling Wave Solutions to a Generalized Novikov Equation with Cubic and Quadratic nonlinearities

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Communications in Theoretical Physics 2014年第6期61卷 742-750页

作者：李国芹屈长征 center for nonlinear studies Faculty of Science Ningbo University

The Camassa-Holm equation, Degasperis–Procesi equation and Novikov equation are the three typical integrable evolution equations admitting peaked solitons. In this paper, a generalized Novikov equation with cubic and quadratic nonlinearities is studied, which is regarded as a generalization of these three well-known studied equations. It is shown that this equation admits single peaked traveling wave solutions, periodic peaked traveling wave solutions, and multi-peaked traveling wave solutions.

关键词： generalized Novikov equation Camassa-Holm equation Degasperis-Procesi equation peakedtraveling wave solution

Three-dimensional fracture of UO2 ceramic pellets by phase field modeling

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science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 169-180页

作者： Wei Xiong Xuan Ye Hongzhang Cheng Xiaoming Liu Institute of Nuclear and New Energy Technology Collaborative Innovation Center of Advanced Nuclear Energy Technology Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education Tsinghua University State Key Laboratory of nonlinear Mechanics Institute of Mechanics Chinese Academy of Sciences School of Engineering science University of Chinese Academy of Sciences

Fracture is the primary failure type for the UO2ceramic pellets,which are operated under irradiation and thermal processes,and physically confined by the *** this work,by combining closely coupled physical processes of heat conduction,heat transfer,and mechanical deformation with the cohesive phase field framework,we proposed a high-precision modeling of quasistatic cracking of three-dimensional （3D） UO2ceramic fuel pellets under high temperature and *** simulation results agree well with the experimental results,indicating that the proposed method has the potential to capture 3D crack modes in the interested time ***,we studied the relation of the 3D fracture patterns of fuel pellets with the peak power *** was found that the power level plays a critical role in determining the competition between radial and circumferential cracks,as well as transverse penetrating cracks.

关键词： phase field method nuclear fuel pellet coupled thermo-mechanical model thermal fracture

The emerging role of nitric oxide in the synaptic dysfunction of vascular dementia

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Neural Regeneration Research 2025年第2期20卷 402-415页

作者： Xiaorong Zhang Zhiying Chen Yinyi Xiong Qin Zhou Ling-Qiang Zhu Dan Liu Department of Pathology Affiliated Hospital of Jiujiang UniversityJiujiangJiangxi ProvinceChina Jiujiang Clinical Precision Medicine Research center JiujiangJiangxi ProvinceChina center for Cognitive science and Transdisciplinary studies Jiujiang UniversityJiangxi ProvinceChina Department of Neurology Affiliated Hospital of Jiujiang UniversityJiujiangJiangxi ProvinceChina Department of Rehabilitation Affiliated Hospital of Jiujiang UniversityJiujiangJiangxi ProvinceChina Department of Pathophysiology School of Basic MedicineTongji Medical CollegeHuazhong University of Science and TechnologyWuhanHubei ProvinceChina

With an increase in global aging,the number of people affected by cerebrovascular diseases is also increasing,and the incidence of vascular dementia-closely related to cerebrovascular risk-is increasing at an epidemic ***,few therapeutic options exist that can markedly improve the cognitive impairment and prognosis of vascular dementia *** in Alzheimer’s disease and other neurological disorders,synaptic dysfunction is recognized as the main reason for cognitive *** oxide is one of the ubiquitous gaseous cellular messengers involved in multiple physiological and pathological processes of the central nervous ***,nitric oxide has been implicated in regulating synaptic plasticity and plays an important role in the pathogenesis of vascular *** review introduces in detail the emerging role of nitric oxide in physiological and pathological states of vascular dementia and summarizes the diverse effects of nitric oxide on different aspects of synaptic dysfunction,neuroinflammation,oxidative stress,and blood-brain barrier dysfunction that underlie the progress of vascular ***,we propose that targeting the nitric oxide-sGC-cGMP pathway using certain specific approaches may provide a novel therapeutic strategy for vascular dementia.

关键词： endoplasmic reticulum stress endothelial nitric oxide synthase gene therapy nitric oxide NO-sGC-cGMP pathway synaptic dysfunction vascular dementia

Approximate Symmetry Reduction for Initial-value Problems of the Extended KdV-Burgers Equations with Perturbation

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Chinese Physics Letters 2011年第3期28卷 1-4页

作者： LI Ji-Na ZHANG Shun-Li center for nonlinear studies Department of MathematicsNorthwest UniversityXi’an 710069 center of nonlinear science Ningbo UniversityNingbo 315211

Approximate generalized conditional symmetry is developed to study the approximate symmetry reduction for initial-value problems of the extended KdV-Burgers equations with *** equations can be reduced to initial-value problems for some systems of first-order perturbed ordinary differential equations in terms of a new *** classification theorems are obtained and an example is taken to show the main reduction procedure.

关键词： perturbation. value symmetry

Initial-value Problems for Extended KdV-Burgers Equations via Generalized Conditional Symmetries

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Chinese Physics Letters 2007年第6期24卷 1433-1436页

作者：张顺利李吉娜 center for nonlinear studies Department of Mathematics Northwest University Xi'an 710069 center of nonlinear science Ningbo University Ningbo 315211

We classify initial-value problems for extended KdV-Burgers equations via generalized conditional symmetries. These equations can be reduced to Cauchy problems for some systems of first-order ordinary differential equ... 详细信息

关键词： PARTIAL-DIFFERENTIAL-EQUATIONS nonlinear DIFFUSION-EQUATIONS EVOLUTION-EQUATIONS BOUSSINESQ EQUATION VARIABLE SEPARATION REDUCTION CLASSIFICATION

PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN

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Applied Mathematics and Mechanics(English Edition) 2001年第2期22卷 220-228页

作者： LI Ji-bin(李继彬) DUAN Wan-suo(段晚锁) center for nonlinear science studies Kunming University of Science and Technology Kunming 650093 P R China Center for Nonlinear Science Studies Kunming University of Science and Technology Kunming 650093 P R China

By using the theory of the generalized perturbed Hamiltonian systems, it is shown that there exist periodic stream lines in the three_dimensional square cell pattern of Rayleigh_Benard convection. The result means that our method enables this three_dimensional flow pattern to be described in an unambiguous manner, and some experimental results of other authors can be explained.

关键词： Rayleigh-Benard convection periodic solutions Hamiltonlan systems square cell pattern

Decision making module based on stochastic magnetic tunnel junctions

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science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 202-209页

作者： Yifan Miao Li Zhao Yajun Zhang Zhe Yuan center for Advanced Quantum studies and Department of Physics Beijing Normal University Institute for Nanoelectric Devices and Quantum Computing Fudan University Interdisciplinary center for Theoretical Physics and Information sciences Fudan University

In biological neural systems, noise is ubiquitous but does not affect the correct decisions made in the complex cognitive ***-making in biological neural system is typically achieved by accumulating input information over a period of *** by recent developments in neurosciences, we design a decision-making module based on spintronic devices, utilizing superparamagnetic tunnel junctions as artificial neurons. The feasibility of this decision-making module is verified through circuit simulations. Taking a multi-layer perceptron as an example, the module significantly improves the accuracy of the perceptron in the handwritten digit recognition task. Furthermore, the spintronic decision-making module offers advantages over the conventional pooling methods, such as adaptive decision time, high performance and the absence of analog-to-digital conversion. The decision-making module is flexible to be integrated into artificial neural networks and provides a general yet effective solution to enhance performance against device noise.

关键词： neuromorphic computing spintronics magnetic tunnel junction neural networks