国家自然科学基金(10675065)

作品数：7被引量：17H指数：2
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Approximate homotopy similarity reduction for the generalized Kawahara equation via Lie symmetry method and direct method被引量：1
《Chinese Physics B》2010年第8期28-34,共7页刘希忠 
Project supported by the National Natural Science Foundations of China(Grant Nos.10735030,10475055,10675065 and 90503006);the National Basic Research Program of China(Grant No.2007CB814800)
This paper studies the generalized Kawahara equation in terms of the approximate homotopy symmetry method and the approximate homotopy direct method. Using both methods it obtains the similarity reduction solutions an...
关键词：approximate homotopy symmetry method approximate homotopy direct method generalized Kawahara equation homotopy series solutions 
Some discussions about method for solving the variable separating nonlinear models
《Chinese Physics B》2010年第5期17-24,共8页阮航宇 
Project supported by the National Natural Science Foundation of China （Grant Nos. 10675065, 90503006 and 10735030） and the K.C.Wong Magna Fund in Ningbo University.Acknowledgement The author would like to thank the helpful discussion of Prof. Sen-Yue Lou.
Through analysing the exact solution of some nonlinear models, the role of the variable separating method in solving nonlinear equations is discussed. We find that rich solution structures of some special fields of th...
关键词：variable separating method nonzero seed solution nonlinear equation 
The extended symmetry approach for studying the general Korteweg-de Vries-type equation被引量：1
《Chinese Physics B》2010年第4期3-10,共8页李志芳 阮航宇 
Project supported by the National Natural Science Foundation of China (Grant No. 10675065);the Scientific Research Fundof the Education Department of Zhejiang Province of China (Grant No. 20070979)
The extended symmetry approach is used to study the general Korteweg-de Vries-type （KdV-type） equation. Several variable-coefficient equations are obtained. The solutions of these resulting equations can be construc...
关键词：extended symmetry approach general Korteweg-de Vries-type （KdV-type） equation variable-coefficient equation 
同伦近似对称法：六阶Boussinesq方程的同伦级数解被引量：4
《中国科学（G辑）》2009年第7期964-973,共10页焦小玉 高原 楼森岳 
国家自然科学基金(批准号:10735030,10475055,10675065,90503006);国家重点基础研究发展计划(编号:2007CB814800);长江学者和创新团队发展计划(编号:IRT0734);中国博士后科学基金(编号:20070410727);高等学校博士学科点专项科研基金(编号:20070248120)资助项目
提出了用以处理非线性问题的同伦近似对称法,并利用该方法研究流体动力学中的六阶Boussinesq方程.各阶相似约化解和各阶相似约化方程均可以写出通式,从而导出相应的同伦级数解.零阶相似约化方程等价于Painlevé IV型方程或Weierstrass...
关键词：同伦近似对称法 六阶Boussinesq方程 同伦级数解 
Approximate direct reduction method:infinite series reductions to the perturbed mKdV equation
《Chinese Physics B》2009年第9期3611-3615,共5页焦小玉 楼森岳 
supported by the National Natural Science Foundations of China (Grant Nos 10735030,10475055,10675065 and 90503006);National Basic Research Program of China (Grant No 2007CB814800);PCSIRT (Grant No IRT0734);the Research Fund of Postdoctoral of China (Grant No 20070410727);Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20070248120)
The approximate direct reduction method is applied to the perturbed mKdV equation with weak fourth order dispersion and weak dissipation. The similarity reduction solutions of different orders conform to formal cohere...
关键词：perturbed mKdV equation approximate direct reduction method series reduction solutions 
Approximate homotopy symmetry method:Homotopy series solutions to the sixth-order Boussinesq equation被引量：9
《Science China(Physics,Mechanics & Astronomy)》2009年第8期1169-1178,共10页JIAO XiaoYu1,GAO Yuan1 & LOU SenYue1,2,3 1 Department of Physics,Shanghai Jiao Tong University,Shanghai 200240,China 2 Department of Physics,Ningbo University,Ningbo 315211,China 3 School of Mathematics,Fudan University,Shanghai 200433,China 
Supported by the National Natural Science Foundation of China (Grant Nos. 10735030, 10475055, 10675065, and 90503006);the National Basic Research Pro-gram of China (Grant No. 2007CB814800);the Program for Changjiang Scholars and Innovative Research Team (Grant No. IRT0734);the Research Fund of Postdoctoral of China (Grant No. 20070410727);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20070248120) Recommended by LIAO ShiJun
An approximate homotopy symmetry method for nonlinear problems is proposed and applied to the sixth-order Boussinesq equation,which arises from fluid dynamics.We summarize the general formulas for similarity reduction...
关键词：APPROXIMATE HOMOTOPY SYMMETRY method sixth-order BOUSSINESQ EQUATION HOMOTOPY series solutions 
基于小波包和神经网络的血细胞识别方法的研究被引量：2
《中国医疗器械杂志》2008年第4期239-241,252,共4页贾丹丹 李宏 
国家自然科学基金项目(60773071);国家自然科学基金项目(10675065);浙江省教育厅资助项目(20061669)
根据血细胞信号的特点,提出了一种基于小波包分析和神经网络的血细胞识别方法。该方法首先对血细胞信号进行小波包分解,然后对分解系数进行重构,求得重构信号的能量;然后选取三个能量特征并结合7个时域特征参数构造成特征向量,作为神经...
关键词：血细胞识别 神经网络 小波包分析 
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