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Boundary Perturbed Problem for Reaction Diffusion Time Delay Equation with Two Parameters

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Wuhan University Journal of Natural Sciences 2015年第2期20卷 93-96页

作者： XU Yonghong shi lanfang MO Jiaqi Department of Mathematics and Physics Bengbu College College of Mathematics and Statistics Nanjing University of Information Science and Technology Department of Mathematics Anhui Normal University

The singular perturbation problem for reaction diffusion time delay equation with boundary perturbation is considered. Firstly, the outer solution for the initial boundary value problem is constructed. Then, the initial and boundary layer correction terms are obtained using the stretched variables transforms. Finally, the asymptotic behavior of solution for the initial boundary value problem is studied.

关键词： nonlinear reaction diffusion asymptotic solution

Double Traveling Wave Solutions of the Coupled Nonlinear Klein-Gordon Equations and the Coupled Schrdinger-Boussinesq Equation

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Journal of Mathematical Research with Applications 2017年第6期37卷 679-696页

作者： lanfang shi Ziwen NIE College of Mathematics and Statistics Nanjing University of Information Science and Technology Ministry of Education Key Laboratory of Child Development and Learning Science Southeast University

The new multiple(G′/G)-expansion method is proposed in this paper to seek the exact double traveling wave solutions of nonlinear partial differential *** the aid of symbolic computation,this new method is applied to construct double traveling wave solutions of the coupled nonlinear Klein-Gordon equations and the coupled Schrdinger-Boussinesq *** a result,abundant double traveling wave solutions including double hyperbolic tangent function solutions,double tangent function solutions,double rational solutions,and a series of complexiton solutions of these two equations are obtained via this new *** new multiple(G′/G)-expansion method not only gets new exact solutions of equations directly and effectively,but also expands the scope of the *** new method has a very wide range of application for the study of nonlinear partial differential equations.

关键词： the new multiple(G′/G)-expansion the coupled nonlinear Klein-Gordon equations the coupled Schrdinger-Boussinesq equation double traveling wave solutions

Effects of active and passive training apparatus combined with rehabilitation training on lower limb function of stroke patients during recovery period

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Neural Regeneration Research 2007年第10期2卷 636-640页

作者： Yang Tian lanfang shi Lei Jing Le Li Bin Chen Ke wei Zhao Department of Rehabilitation Jilin Academic Institute of Traditional Chinese MedicineChangchun 130021Jilin ProvinceChina Nanjing Kanglongwei Rehabilitative Medical Engineering Co． Ltd．Nanjing 210036Jiangsu ProvinceChina

Stroke patients always spontaneously do some learning and training of motor functions; however, learning and training are not prompt and right, while patients do not have enough activity amounts. Active and passive motor training apparatus is aimed directly at lower limb training so as to stimulate nerve function through stimulating muscular movement. Based on motor mileage, motor time, various power supplies and velocity of active and passive training apparatus, we can understand the training condition and adjust training program. OBJECTIVE： To observe the effects of grade-III rehabilitation training combining with active and passive training apparatus on lower limb function, muscle strength and activity of daily living （ADL） in stroke patients during recovery period. DESIGN： Contrast observation. SETTING： Department of Rehabilitation, Jilin Academic Institute of Traditional Chinese Medicine. PARTICIPANTS： A total of 80 patients with stroke-induced hemiplegia after stabilizing vital signs for 2 weeks were selected from Department of Rehabilitation, Jilin Academic Institute of Traditional Chinese Medicine from January to June 2007. There were 47 males and 33 females, and their ages ranged from 41 to 75 years. All patients met the diagnostic criteria of the Fourth National Cerebrovascular Disease Academic Meeting in 1995 and were diagnosed as cerebral hemorrhage or cerebral infarction through CT or MRI examinations in clinic. Patients and their parents provided the confirmed consent. Based on therapeutic orders of hospitalization, patients were randomly divided into treatment group and control group with 40 patients in each group. METHODS： Patients in the control group received physical therapy and occupational therapy combining with rehabilitative treatment based on grade-III rehabilitative treatment program, which was set by the National Cerebrovascular Disease Topic Group. In addition, patients in the treatment group were trained with active and passive motor trai

关键词： active and passive training apparatus stroke hemiplegia rehabilitation training

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阈值寻优的高保真各向异性滤波模型

计算机辅助设计与图形学学报 2016年第9期28卷 1550-1559页

作者：周先春汪美玲石兰芳南京信息工程大学电子与信息工程学院南京210044 南京信息工程大学江苏省大气环境与装备技术协同创新中心南京210044 南京信息工程大学江苏省气象探测与信息处理重点实验室南京210044 儿童发展与学习科学教育部重点实验室南京210096 南京信息工程大学数学与统计学院南京210044

在各向异性扩散滤波方法中,边缘检测的准确性对滤波结果有重要的影响.为了增强图像滤波的效果,提出一种阈值寻优的高保真各向异性滤波方法.首先用小波变换提取图像的高频部分,在高频部分用二阶微分量曲率模值来反映局部信息,避免将图像... 详细信息

在各向异性扩散滤波方法中,边缘检测的准确性对滤波结果有重要的影响.为了增强图像滤波的效果,提出一种阈值寻优的高保真各向异性滤波方法.首先用小波变换提取图像的高频部分,在高频部分用二阶微分量曲率模值来反映局部信息,避免将图像的尖峰、角点误认为噪声,保护图像的尖峰、角点等细节信息;然后用最小均方算法设计阈值,进一步控制扩散强度,建立新的各向异性滤波模型;最后用建立的新模型对提取的高频部分进行处理,对处理后的高频系数和原来的低频系数进行小波重构,得到去噪后的图像.实验结果表明,文中方法去噪性能优异,较好地保持了图像细节;另外,该方法的运行时间较短,有利于实际应用,是一种理想的方法.

关键词：图像去噪曲率模值最小均方差小波变换

应用Riccati-Bernoulli辅助方程求解广义非线性Schrodinger方程和(2+1)维非线性Ginzburg-Landau方程

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应用数学和力学 2020年第7期41卷 786-795页

作者：石兰芳王明灿钱正雅南京信息工程大学数学与统计学院南京210044

研究了Riccati-Bernoulli辅助方程法,并应用这种方法得到广义非线性Schrodinger方程和(2+1)维非线性Ginzburg-Landau方程的精确行波解.这些解包括有理函数、三角函数、双曲函数和指数函数.应用这种方法求解过程简洁有效.该研究对于数学... 详细信息

研究了Riccati-Bernoulli辅助方程法,并应用这种方法得到广义非线性Schrodinger方程和(2+1)维非线性Ginzburg-Landau方程的精确行波解.这些解包括有理函数、三角函数、双曲函数和指数函数.应用这种方法求解过程简洁有效.该研究对于数学物理方程领域诸多非线性偏微分方程精确解的探究具有重要的意义.

关键词： Riccati-Bernoulli辅助方程法广义非线性Schrodinger方程 (2+1)维非线性Ginzburg-Landau方程行波解