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AN ASYMPTOTIC SOLUTION OF THE NONLINEAR REDUCED WAVE EQUATION
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作者 Kin-Chung Ng Technical Carreer Institute, 320 W.31st Street, New York, NY 10001, USA 《Acta Mathematica Scientia》 SCIE CSCD 2001年第2期275-281,共7页
This paper uses the boundary layer theory to obtain an asymptotic solution of the nonlinear educed wave equation. This solution is valid in the secular region where the geometrical optics result fails. However it agre... This paper uses the boundary layer theory to obtain an asymptotic solution of the nonlinear educed wave equation. This solution is valid in the secular region where the geometrical optics result fails. However it agrees with the geometrical optics result when the field is away from the secular region. By using this solution the self-focusing length can also be obtained. 展开更多
关键词 Nonlinear reduced wave equation asymptotic solution boundary layer theory
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Soliton–cnoidal interactional wave solutions for the reduced Maxwell–Bloch equations
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作者 黄丽丽 乔志军 陈勇 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第2期220-227,共8页
In this paper, we study soliton-cnoidal wave solutions for the reduced Maxwell-Bloch equations. The truncated Painlev6 analysis is utilized to generate a consistent Riccati expansion, which leads to solving the reduce... In this paper, we study soliton-cnoidal wave solutions for the reduced Maxwell-Bloch equations. The truncated Painlev6 analysis is utilized to generate a consistent Riccati expansion, which leads to solving the reduced Maxwell-Bloch equations with solitary wave, cnoidal periodic wave, and soliton-cnoidal interactional wave solutions in an explicit form. Particularly, the soliton-cnoidal interactional wave solution is obtained for the first time for the reduced Maxwell-Bloch equations. Finally, we present some figures to show properties of the explicit soliton-cnoidal interactional wave solutions as well as some new dynamical phenomena. 展开更多
关键词 reduced Maxwell-Bloch equations consistent Riccati expansion soliton-cnoidal interactionalwave solutions
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Why is the Danger Cylinder Dangerous in the P3P Problem? 被引量:5
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作者 ZHANG Cai-Xia HU Zhan-Yi 《自动化学报》 EI CSCD 北大核心 2006年第4期504-511,共8页
The PnP problem is a widely used technique for pose determination in computer vision community,and finding out geometric conditions of multiple solutions is the ultimate and most desirable goal of the multi-solution a... The PnP problem is a widely used technique for pose determination in computer vision community,and finding out geometric conditions of multiple solutions is the ultimate and most desirable goal of the multi-solution analysis,which is also a key research issue of the problem.In this paper,we prove that given 3 control points,if the camera's optical center lies on the so-called“danger cylinder”and is enough far from the supporting plane of control points,the corresponding P3P problem must have 3 positive solutions.This result can bring some new insights into a better understanding of the multi-solution problem.For example,it is shown in the literature that the solution of the P3P problem is instable if the optical center lies on this danger cylinder,we think such occurrence of triple-solution is the primary source of this instability. 展开更多
关键词 the P3P problem the danger cylinder instability of solution
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Lump,lumpoff and predictable rogue wave solutions to a dimensionally reduced Hirota bilinear equation 被引量:2
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作者 Haifeng Wang Yufeng Zhang 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第4期172-178,共7页
We study a simplified(3+1)-dimensional model equation and construct a lump solution for the special case of z=y using the Hirota bilinear method.Then,a more general form of lump solution is constructed,which contains ... We study a simplified(3+1)-dimensional model equation and construct a lump solution for the special case of z=y using the Hirota bilinear method.Then,a more general form of lump solution is constructed,which contains more arbitrary autocephalous parameters.In addition,a lumpoff solution is also derived based on the general lump solutions and a stripe soliton.Furthermore,we figure out instanton/rogue wave solutions via introducing two stripe solitons.Finally,one can better illustrate these propagation phenomena of these solutions by analyzing images. 展开更多
关键词 dimensionally REDUCED HIROTA BILINEAR equation MORE general FORM of lump SOLUTION lumpoff SOLUTION rogue wave SOLUTION
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A more general form of lump solution,lumpoff,and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation 被引量:2
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作者 Panfeng Zheng Man Jia 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第12期147-156,共10页
In this manuscript,a reduced(3+1)-dimensional nonlinear evolution equation is studied.We first construct the bilinear formalism of the equation by using the binary Bell polynomials theory,then explore a lump solution ... In this manuscript,a reduced(3+1)-dimensional nonlinear evolution equation is studied.We first construct the bilinear formalism of the equation by using the binary Bell polynomials theory,then explore a lump solution to the special case for z=x.Furthermore,a more general form of lump solution of the equation is found which possesses seven arbitrary parameters and four constraint conditions.By cutting the lump by the induced soliton(s),lumpoff and instanton/rogue wave solutions are also constructed by the more general form of lump solution. 展开更多
关键词 a reduced(3 + 1)-dimensional nonlinear evolution equation more general form of lump solution soliton induced by lump lumpoff and instanton/rogue wave solutions
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Reduced Differential Transform Method for Solving Nonlinear Biomathematics Models 被引量:4
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作者 K.A.Gepreel A.M.S.Mahdy +1 位作者 M.S.Mohamed A.Al-Amiri 《Computers, Materials & Continua》 SCIE EI 2019年第9期979-994,共16页
In this paper,we study the approximate solutions for some of nonlinear Biomathematics models via the e-epidemic SI1I2R model characterizing the spread of viruses in a computer network and SIR childhood disease model.T... In this paper,we study the approximate solutions for some of nonlinear Biomathematics models via the e-epidemic SI1I2R model characterizing the spread of viruses in a computer network and SIR childhood disease model.The reduced differential transforms method(RDTM)is one of the interesting methods for finding the approximate solutions for nonlinear problems.We apply the RDTM to discuss the analytic approximate solutions to the SI1I2R model for the spread of virus HCV-subtype and SIR childhood disease model.We discuss the numerical results at some special values of parameters in the approximate solutions.We use the computer software package such as Mathematical to find more iteration when calculating the approximate solutions.Graphical results and discussed quantitatively are presented to illustrate behavior of the obtained approximate solutions. 展开更多
关键词 Reduced differential transforms method nonlinear biomathematics models SI1I2R model SIR model analytic approximate solutions qualitative analysis stability and equilibrium.
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Symmetry Groups and Exact Solutions of New(4+1)-Dimensional Fokas Equation 被引量:1
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作者 YANG Zheng-Zheng YAN Zhen-Ya 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第5期876-880,共5页
In this paper, we investigate symmetries of the new (4+1)-dimensional Fokas equation, including point symmetries and the potential symmetries. We firstly employ the algorithmic procedure of computing the point symm... In this paper, we investigate symmetries of the new (4+1)-dimensional Fokas equation, including point symmetries and the potential symmetries. We firstly employ the algorithmic procedure of computing the point symmetries. And then we transform the Fokas equation into a potential system and gain the potential symmetries of Fokas equation. Finally, we use the obtained point symmetries wave solutions and other solutions of the Fokas equation. and some constructive methods to get some doubly periodic In particular, some solitary wave solutions are also given. 展开更多
关键词 Fokas equation point symmetry potential symmetry solitary wave solution reduced form
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Exact Solutions of(2+1)-Dimensional HNLS Equation
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作者 郭爱林 林机 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第9期401-406,共6页
In this paper, we use the classical Lie group symmetry method to get the Lie point symmetries of the (2+1)-dimensional hyperbolic nonlinear Schr6dinger (HNLS) equation and reduce the (2+1)-dimensional HNLS equ... In this paper, we use the classical Lie group symmetry method to get the Lie point symmetries of the (2+1)-dimensional hyperbolic nonlinear Schr6dinger (HNLS) equation and reduce the (2+1)-dimensional HNLS equation to some (1 + 1 )-dimensional partial differential systems. Finally, many exact travelling solutions of the (2+1)-dimensional HNLS equation are obtained by the classical Lie symmetry reduced method. 展开更多
关键词 (2+1)-dimensional HNLS equation classical Lie group approach the symmetry reduced method exact solution
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ZTE GSM exPower SOLUTIONS. INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO.
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《ZTE Communications》 2007年第3期65-65,共1页
ZTE’s cost-effective GSM solutions provide world class service to over 70 million subscribers in more than 30 countries
关键词 GSM ZTE GSM exPower solutions INCREASE YOUR BUSINESS SUCCESS BY reducing YOUR TCO
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ZTE GSM exPower SOLUTIONS.INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO
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《ZTE Communications》 2007年第4期65-65,共1页
ZTE’s cost-effective GSM solutions provide world class service to over 70 million subscribers in more than 30 countries,and have helped us build strong partnerships with 12 of the world’s top thirty telecoms operators.
关键词 ZTE GSM exPower solutions INCREASE YOUR BUSINESS SUCCESS BY reducing YOUR TCO GSM
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ZTE GSM exPower SOLUTIONS. INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO.
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《ZTE Communications》 2007年第2期68-68,共1页
ZTE’s cost-effective GSM solutions provide world class service to over 70 million subscribers in more than 30
关键词 GSM ZTE GSM exPower solutions.INCREASE YOUR BUSINESS SUCCESS BY reducing YOUR TCO BTS TCO
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Drag-reducing characteristics of cationic surfactant solution flow in copper pipe
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作者 朱蒙生 邹平华 +2 位作者 曹慧哲 蔡伟华 李凤臣 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第6期837-841,共5页
The drag-reducing characteristics of a cationic surfactant solution flow in copper pipe have been investigated experimentally.The tested drag-reducing fluid was an aqueous solution of the cationic surfactant cetyltrim... The drag-reducing characteristics of a cationic surfactant solution flow in copper pipe have been investigated experimentally.The tested drag-reducing fluid was an aqueous solution of the cationic surfactant cetyltrimethyl ammonium chloride(CTAC).The experimental results show that the maximum drag reduction percentage reduces with the increase of fluid temperature at low concentration of CTAC,such as 100×10-6 or 150×10-6.Furthermore,the concentration and temperature changes of CTAC solution have significant influences on the drag-reducing ability.The drag-reducing effect of CTAC additives shows great potentials in the application in a district heating/cooling(DHC)system,especially for the radiant floor heating(RFH)system. 展开更多
关键词 drag-reducing characteristics cationic surfactant solution experimental study
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从铂化合物制备尾液中回收超细铂粉的研究
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作者 毕向光 王文思 +5 位作者 余泽锦 刘辉 冯丰 赵云昆 余建民 卿山 《贵金属》 CAS 北大核心 2024年第2期59-63,68,共6页
将不同的铂化合物制备尾液经过氯化铵沉淀,实现与其他杂质元素的分离,将铂转化为氯铂酸铵中间体,经液相化学还原得到超细铂粉。研究了中间体形态、(NH_(4))2PtCl6溶液浓度、分散剂种类及加入量对铂粉粒度、比表面积、形貌的影响。结果表... 将不同的铂化合物制备尾液经过氯化铵沉淀,实现与其他杂质元素的分离,将铂转化为氯铂酸铵中间体,经液相化学还原得到超细铂粉。研究了中间体形态、(NH_(4))2PtCl6溶液浓度、分散剂种类及加入量对铂粉粒度、比表面积、形貌的影响。结果表明,铂化合物尾液种类不影响超细铂粉的形貌及颗粒尺寸,以PVP为分散剂,硼氢化钠为还原剂,在优化条件下制备的铂粉平均粒度约150nm,纯度99.99%,直收率97.8%,颗粒形貌均匀、分散程度高、比表面积及颗粒尺寸均符合超细铂粉国家标准,方法可用于从多种铂类化合物制备尾液直接制备超细铂粉。 展开更多
关键词 铂类化合物 制备尾液 还原剂 超细铂粉
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血液成分二次制备后相关参数变化
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作者 郭敏 陈君 +3 位作者 杨宁 和苗 李建民 杨文娟 《中国输血杂志》 CAS 2024年第5期586-590,612,共6页
目的 对成分血二次制备后的相关参数变化进行研究,旨在进一步提升血液成分产品质量。方法 选择不同的离心条件用于初次成分血去白细胞悬浮红细胞的制备,并对其进行质量检测,然后以去白细胞悬浮红细胞为二次制备的起始血液,通过ACP215红... 目的 对成分血二次制备后的相关参数变化进行研究,旨在进一步提升血液成分产品质量。方法 选择不同的离心条件用于初次成分血去白细胞悬浮红细胞的制备,并对其进行质量检测,然后以去白细胞悬浮红细胞为二次制备的起始血液,通过ACP215红细胞处理系统去制备机制洗涤红细胞成分血,并对其进行质量检测,通过对成分血制备参数的变化进行观察研究比较,并从中进行优化调整。结果 不同的离心条件所带来的离心效果相当时,所分离制备的去白细胞悬浮红细胞和冰冻血浆初级血液成分,其容量、血红蛋白、血细胞比积、白细胞残留量等质量控制项目,均符合国家相关标准要求;同时以初次制备的去白细胞悬浮红细胞为起始血液制备的机制,洗涤红细胞二级血液成分,其容量、血红蛋白、上清蛋白含量等质量控制项目,除容量超出标准7~14 mL外,其余均符合国家相关标准要求,但导致容量超标的原因及采取的解决方法可控制容量达到标准范围,且在红细胞回收率和血浆蛋白清除率上,二者可分别达到75%和99%的水平。结论 本实验初次制备与二次制备的血液成分之间有着一定的关联,但血液成分二次制备可视实际情况进行相关参数的灵活调整,以确保制备的成分血产品质量符合国家相关标准要求,以及临床治疗效果和安全。 展开更多
关键词 成分血 初次处理血液成分 二次处理血液成分 去白细胞悬浮红细胞 血浆 洗涤红细胞
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Fabrication of Cu_2O@Cu_2O core-shell nanoparticles and conversion to Cu_2O@Cu core-shell nanoparticles in solution 被引量:2
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作者 杨爱玲 李顺嫔 +3 位作者 王玉金 王乐乐 包西昌 杨仁强 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2015年第11期3643-3650,共8页
Cu2O@Cu2O core-shell nanoparticles (NPs) were prepared by using solution phase strategy. It was found that Cu2O@Cu2O NPs were easily converted to Cu2O@Cu NPs with the help of polyvinylpyrrolidine (PVP) and excessive a... Cu2O@Cu2O core-shell nanoparticles (NPs) were prepared by using solution phase strategy. It was found that Cu2O@Cu2O NPs were easily converted to Cu2O@Cu NPs with the help of polyvinylpyrrolidine (PVP) and excessive ascorbic acid (AA) in air at room temperature, which was an interesting phenomenon. The features of the two kinds of NPs were characterized by XRD, TEM and extinction spectra. Cu2O@Cu NPs with different shell thicknesses showed wide tunable optical properties for the localized surface plasmon (LSP) in metallic Cu. But Cu2O@Cu2O NPs did not indicate this feature. FTIR results reveal that Cu+ ions on the surface of Cu2O shell coordinate with N and O atoms in PVP and are further reduced to metallic Cu by excessive AA and then form a nucleation site on the surface of Cu2O nanocrystalline. PVP binds onto different sites to proceed with the reduction utill all the Cu sources in Cu2O shell are completely assumed. 展开更多
关键词 Cu2O@Cu2O core-shell nanoparticles Cu2O@Cu core-shell nanoparticles solution phase strategy reducing agent tunable optical properties polyvinylpyrrolidine
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Ti基Ru-Ir-Ti电极在稀氯化钠溶液中的电解失效行为
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作者 杨瑞锋 贾波 +4 位作者 郭敏 武晨航 李金岳 郝小军 冯庆 《材料导报》 EI CAS CSCD 北大核心 2024年第13期168-172,共5页
金属钛电极具有高催化活性、高耐久性能、易加工生产等优点,可应用于氯碱工业、饮用水消毒、循环冷却水处理等方面,在许多领域拥有广阔的发展前景。然而,其失效机理大多在硫酸溶液中进行,不能真实反映电极在氯化钠环境下工作的实际状况... 金属钛电极具有高催化活性、高耐久性能、易加工生产等优点,可应用于氯碱工业、饮用水消毒、循环冷却水处理等方面,在许多领域拥有广阔的发展前景。然而,其失效机理大多在硫酸溶液中进行,不能真实反映电极在氯化钠环境下工作的实际状况。鉴于此,本工作采用电化学与表面物理方法对Ru-Ir-Ti电极在稀氯化钠溶液中的加速电解过程进行了研究。对加速电解不同阶段的研究表明:电极的失效是一个渐变过程,电解前期,涂层表面钌的溶解速率较快,之后电极呈现均匀腐蚀,活性物质Ru、Ir逐渐减少。涂层在表面和内部的电解消耗导致涂层疏松、结构被破坏,当活性物质减少到临界点时,起导电性的电催化活性物质缺失,反应进行缓慢,槽电压升高,这是电极失效的主要原因,研究过程尚未发现电极基底发生钝化现象。同时研究表明,电解产生的次氯酸钠不会对电极性能造成影响。 展开更多
关键词 钛电极 氯化钠溶液 失效机理 均匀腐蚀 电极失效 次氯酸钠
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活性炭吸附塔产生硫化氢的原因及解决措施研究
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作者 郭晓栋 刘辉 +4 位作者 张静敏 刘永涛 高东星 孟运生 程瑞泉 《山东化工》 CAS 2024年第3期261-263,267,共4页
某矿山水处理工序采用“电石渣中和过滤—滤液活性炭吸附除油”的基本流程,针对其活性炭吸附塔产生硫化氢这一实际问题开展了分析研究,结果表明塔内SRB的生长繁殖是产生硫化氢气体的直接原因,并且得出了SRB菌种的来源为生活污水返回所... 某矿山水处理工序采用“电石渣中和过滤—滤液活性炭吸附除油”的基本流程,针对其活性炭吸附塔产生硫化氢这一实际问题开展了分析研究,结果表明塔内SRB的生长繁殖是产生硫化氢气体的直接原因,并且得出了SRB菌种的来源为生活污水返回所致。从活性炭吸附后的水体中分离出一株SRB菌株,该菌的生长繁殖受到pH值、温度、氧气、Fe^(2+)、碳源等环境因素的影响,其中pH值和温度是影响SRB生长繁殖的重要因素。结合现场实际,对比分析了可采取的治理措施及优缺点,通过热处理治理有效抑制了细菌的生长,达到了治理效果。 展开更多
关键词 活性炭 硫化氢 硫酸盐还原菌 解决措施
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药用辅料可溶性淀粉质量评价与研究
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作者 胡淑君 叶秀金 +2 位作者 李艺 胡佳哲 陈旻 《中国药品标准》 CAS 2024年第2期181-186,共6页
目的:考察药用辅料可溶性淀粉的质量现状及存在问题,分析评价其质量属性。方法:按现行质量标准对5个厂家28批样品进行检验,并开展探索性研究试验,分析评价可溶性淀粉的质量差异。结果:按现行标准检验,2批样品不合格,占总数的7.1%。探索... 目的:考察药用辅料可溶性淀粉的质量现状及存在问题,分析评价其质量属性。方法:按现行质量标准对5个厂家28批样品进行检验,并开展探索性研究试验,分析评价可溶性淀粉的质量差异。结果:按现行标准检验,2批样品不合格,占总数的7.1%。探索性研究发现,不同植物来源的可溶性淀粉存在差别。真菌毒素多存在于玉米来源的可溶性淀粉,含量较高,应关注其风险;可溶性淀粉的粉体流动性与粒度有关,马铃薯来源的可溶性淀粉颗粒较大,流动性比玉米和木薯来源的要好;动态水分吸附马铃薯来源的较高。结论:可溶性淀粉产品质量评价一般。通过质量评价与研究,为后续制剂研究提供参考,对于中药制剂的发展具有重要意义。 展开更多
关键词 可溶性淀粉 质量评价 还原糖 功能性 溶液的澄清度
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A KAM theorem for 2-dimensional nonlinear Schrodinger equations with forcing terms and(2p+1)-nonlinearities
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作者 Shuaishuai XUE 《Frontiers of Mathematics in China》 CSCD 2024年第2期75-100,共26页
In this paper,we prove an infinite dimensional KAM theorem and apply it to study 2-dimensional nonlinear Schrodinger equations with different large forcing terms and(2p+1)-nonlinearities iu_(t)-Δu+φ_(1)(ω_(1)+t)u+... In this paper,we prove an infinite dimensional KAM theorem and apply it to study 2-dimensional nonlinear Schrodinger equations with different large forcing terms and(2p+1)-nonlinearities iu_(t)-Δu+φ_(1)(ω_(1)+t)u+φ_(2)(ω_(2)+t)|u|^(2p)u=0,t∈R,x∈T^(2) under periodic boundary conditions. As a result, the existence of a Whitneysmooth family of small-amplitude reducible quasi-periodic solutions is obtained. 展开更多
关键词 Schrodinger equation reducible KAM tori small divisor quasi-periodic solution
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聚丙烯酸钠的制备及性能研究
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作者 陈拥强 廖军 +3 位作者 张悠悠 仝元东 李华 梁健 《中国陶瓷工业》 CAS 2024年第5期20-23,共4页
通过操作简便、应用广泛的水溶液聚合法,制备了粘均分子量约为1500~3000聚丙烯酸钠。研究表明,聚丙烯酸钠的相对分子量随着引发剂用量以及链转移剂用量的增加而减小。相应聚丙烯酸钠(分子量为2000)的减水率达到22.8%,高于市场常用萘系... 通过操作简便、应用广泛的水溶液聚合法,制备了粘均分子量约为1500~3000聚丙烯酸钠。研究表明,聚丙烯酸钠的相对分子量随着引发剂用量以及链转移剂用量的增加而减小。相应聚丙烯酸钠(分子量为2000)的减水率达到22.8%,高于市场常用萘系减水剂,表现出优异的应用潜力。 展开更多
关键词 聚丙烯酸钠 水溶液聚合法 粘均分子量 减水率
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