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2阶Camassa-Holm方程行波解附近的解的衰减性
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作者 丁丹平 王凯 《江西师范大学学报(自然科学版)》 CAS 北大核心 2019年第6期598-604,共7页
该文研究2阶Camassa-Holm(CH)方程Cauchy问题在行波附近的解的衰减性.采用Y.Martel等在研究临界广义Korteweg-de Vries(KdV)方程的孤立子的稳定性时所用的伪共形变换方法,研究了具有指数衰减初值的解,得到解可被衰减的指数函数控制.
关键词 2阶Camassa-Holm方程 衰减性 行波解 形变
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Dullin-Gottwald-Holm方程尖峰孤立子附近解的稳定性
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作者 丁丹平 韩希凤 《西北师范大学学报(自然科学版)》 CAS 北大核心 2021年第6期18-24,共7页
研究Dullin-Gottwald-Holm(DGH)方程Cauchy问题在尖峰孤立子附近的解的轨道稳定性.运用伪共形变换方法,对DGH方程Cauchy问题在尖峰孤立波附近的解做如下分解:λ^(1/2)(t)u(t,y+x(t))=ε(t,y)+Q(y).通过对控制参数λ(t),x(t)的讨论,证明... 研究Dullin-Gottwald-Holm(DGH)方程Cauchy问题在尖峰孤立子附近的解的轨道稳定性.运用伪共形变换方法,对DGH方程Cauchy问题在尖峰孤立波附近的解做如下分解:λ^(1/2)(t)u(t,y+x(t))=ε(t,y)+Q(y).通过对控制参数λ(t),x(t)的讨论,证明了余项ε(t,y)的稳定性;进一步得到了DGH方程Cauchy问题尖峰孤立波及其附近解的轨道稳定性.结果表明:若初值0与u 0在H 1意义下充分接近,则在时间T内初值对应的解仍任意接近,即(t,·+r 2)-u(t,·+r 1)H^(1)<ω,t∈[0,T). 展开更多
关键词 Dullin-Gottwald-Holm(DGH)方程 尖峰孤立波解 轨道稳定性 形变
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High precision slope deformation monitoring model based on the GPS/Pseudolites technology in open-pit mine 被引量:26
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作者 WANG Jianpeng, GAO Jingxiang, LIU Chao, WANG Jian School of Environment and Spatial Informatics, China University of Mining & Technology, Xuzhou 221008, China 《Mining Science and Technology》 EI CAS 2010年第1期126-131,137,共7页
As the number and geometric intensity of visual satellites are susceptible to large slopes in open-pit mines, we propose integration of GPS/Pseudolites (PLs) positioning technology which can increase the number of vis... As the number and geometric intensity of visual satellites are susceptible to large slopes in open-pit mines, we propose integration of GPS/Pseudolites (PLs) positioning technology which can increase the number of visible satellites, strengthen the geometric intensity of satellites and provide a precision solution for slope deformation monitoring. However, the un-modeled systematic errors are still the main limiting factors for high precision baseline solution. In order to eliminate the un-modeled systematic error, the Empirical Mode Decomposition (EMD) theory is employed. The multi-scale decomposition and reconstruction architecture are defined here on the basis of the EMD theory and the systematic error mitigation model is demonstrated as well. A standard of the scale selection for the systematic error elimination is given in terms of the mean of the accumulated standardized modes. Thereafter, the scheme of the GPS/PLs baseline solution based on the EMD is suggested. The simulation and experiment results show that the precision factors (DOP) are reduced greatly when PLs is located suitably. The proposed scheme dramatically improves the reliability of ambiguity resolution and the precision of baseline vector after systematic error being eliminated, and provides an effective model for high precision slope deformation monitoring in open-pit mine. 展开更多
关键词 open-pit mine slope deformation PLS EMD
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重轨星载INSAR中大气水汽影响的初步分析
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作者 赵景民 甘卫军 谌华 《测绘科学》 CSCD 北大核心 2009年第S1期20-22,共3页
大气水汽是影响重复轨道合成孔径雷达干涉测量形变监测的一个主要误差源。本文选取官厅水库附近地区为研究区域,利用重复轨道ENVISAT卫星ASAR数据的差分干涉处理结果和近地表卫星水汽数据以及卫星过境当日气温资料,对重轨D-INSAR大气水... 大气水汽是影响重复轨道合成孔径雷达干涉测量形变监测的一个主要误差源。本文选取官厅水库附近地区为研究区域,利用重复轨道ENVISAT卫星ASAR数据的差分干涉处理结果和近地表卫星水汽数据以及卫星过境当日气温资料,对重轨D-INSAR大气水汽的影响进行了初步分析。研究结果表明:大气水汽相对湿度变化21.6%时,差分干涉处理中大气水汽产生的"伪形变"——大气水汽影响的绝对量值,在水平方向为12.2 cm,在高程方向为5.29 cm。 展开更多
关键词 重复轨道 合成孔径雷达干涉测量(INSAR) 伪形变 相对湿度
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DYNAMICS ON WEAKLY PSEUDOCONVEX DOMAINS 被引量:1
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作者 ZHANGWENJUN RENFYUAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第4期467-476,共10页
This paper studies the iteratiolls of holomorphic self-maps which have nonwandering points over general pseudoconvex domains in C2. The authors give especially a Denjoy-Wolff-type theorem on pseudoconvex domains with ... This paper studies the iteratiolls of holomorphic self-maps which have nonwandering points over general pseudoconvex domains in C2. The authors give especially a Denjoy-Wolff-type theorem on pseudoconvex domains with reaLanalytic boundaries, or even more general, on domains of finite type. 展开更多
关键词 ITERATION HOROSPHERE Domains of finite type Nonwandering point.
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