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Spatiotemporal changes of gross primary productivity and its response to drought in the Mongolian Plateau under climate change 被引量:1
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作者 ZHAO Xuqin LUO Min +3 位作者 MENG Fanhao SA Chula BAO Shanhu BAO Yuhai 《Journal of Arid Land》 SCIE CSCD 2024年第1期46-70,共25页
Gross primary productivity(GPP)of vegetation is an important constituent of the terrestrial carbon sinks and is significantly influenced by drought.Understanding the impact of droughts on different types of vegetation... Gross primary productivity(GPP)of vegetation is an important constituent of the terrestrial carbon sinks and is significantly influenced by drought.Understanding the impact of droughts on different types of vegetation GPP provides insight into the spatiotemporal variation of terrestrial carbon sinks,aiding efforts to mitigate the detrimental effects of climate change.In this study,we utilized the precipitation and temperature data from the Climatic Research Unit,the standardized precipitation evapotranspiration index(SPEI),the standardized precipitation index(SPI),and the simulated vegetation GPP using the eddy covariance-light use efficiency(EC-LUE)model to analyze the spatiotemporal change of GPP and its response to different drought indices in the Mongolian Plateau during 1982-2018.The main findings indicated that vegetation GPP decreased in 50.53% of the plateau,mainly in its northern and northeastern parts,while it increased in the remaining 49.47%area.Specifically,meadow steppe(78.92%)and deciduous forest(79.46%)witnessed a significant decrease in vegetation GPP,while alpine steppe(75.08%),cropland(76.27%),and sandy vegetation(87.88%)recovered well.Warming aridification areas accounted for 71.39% of the affected areas,while 28.53% of the areas underwent severe aridification,mainly located in the south and central regions.Notably,the warming aridification areas of desert steppe(92.68%)and sandy vegetation(90.24%)were significant.Climate warming was found to amplify the sensitivity of coniferous forest,deciduous forest,meadow steppe,and alpine steppe GPP to drought.Additionally,the drought sensitivity of vegetation GPP in the Mongolian Plateau gradually decreased as altitude increased.The cumulative effect of drought on vegetation GPP persisted for 3.00-8.00 months.The findings of this study will improve the understanding of how drought influences vegetation in arid and semi-arid areas. 展开更多
关键词 gross primary productivity(GPP) climate change warming aridification areas drought sensitivity cumulative effect duration(CED) Mongolian Plateau
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基于Gross情绪调节理论的心理护理对耐药结核病患者心理应激、治疗依从性及生活质量的影响
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作者 邵丽波 崔晓华 +2 位作者 孙艳芳 张亢亢 杨莉 《医学理论与实践》 2024年第5期852-854,共3页
目的:探讨基于Gross情绪调节理论的心理护理对耐药结核病(DR-TB)患者心理应激水平、治疗依从性及生活质量的影响。方法:使用随机数表法将2022年1—12月在我院就诊的80例DR-TB患者分为对照组(n=40)和观察组(n=40)。对照组给予常规护理,... 目的:探讨基于Gross情绪调节理论的心理护理对耐药结核病(DR-TB)患者心理应激水平、治疗依从性及生活质量的影响。方法:使用随机数表法将2022年1—12月在我院就诊的80例DR-TB患者分为对照组(n=40)和观察组(n=40)。对照组给予常规护理,观察组给予在常规护理基础上基于Gross情绪调节理论的心理护理。比较两组心理应激水平、治疗依从性及生活质量。结果:干预后,两组BDI、BAI评分均下降,且观察组BDI、BAI评分均低于对照组(P<0.05);观察组MMAS-8评分高于对照组(P<0.05);干预后,两组QLI-TB评分均上升,且观察组QLI-TB评分高于对照组(P<0.05)。结论:基于Gross情绪调节理论的心理护理能有效改善DR-TB患者焦虑、抑郁情绪,对提高患者治疗依从性及生活质量有较大意义。 展开更多
关键词 耐药结核病 gross情绪调节理论 心理应激 治疗依从性 生活质量
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Safety and efficacy of transcatheter arterial embolization in autosomal dominant polycystic kidney patients with gross hematuria: Six case reports
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作者 Wei-Fan Sui Yun-Xin Duan +2 位作者 Jian-Yun Li Wei-Bin Shao Jian-Hua Fu 《World Journal of Clinical Cases》 SCIE 2024年第11期1954-1959,共6页
BACKGROUND To retrospectively report the safety and efficacy of renal transcatheter arterial embolization for treating autosomal dominant polycystic kidney disease(ADPKD)patients with gross hematuria.CASE SUMMARY The ... BACKGROUND To retrospectively report the safety and efficacy of renal transcatheter arterial embolization for treating autosomal dominant polycystic kidney disease(ADPKD)patients with gross hematuria.CASE SUMMARY The purpose of this study is to retrospectively report the safety and efficacy of renal transcatheter arterial embolization for treating ADPKD patients with gross hematuria.Materials and methods:During the period from January 2018 to December 2019,renal transcatheter arterial embolization was carried out on 6 patients with polycystic kidneys and gross hematuria.Renal arteriography was performed first,and then we determined the location of the hemorrhage and performed embolization under digital subtraction angiography monitoring.Improvements in routine blood test results,routine urine test results,urine color and postoperative reactions were observed and analyzed.Results:Renal transcatheter arterial embolization was successfully conducted in 6 patients.The indices of 5 patients and the color of gross hematuria improved after surgery compared with before surgery.No severe complication reactions occurred.CONCLUSION For autosomal dominant polycystic kidney syndrome patients with gross hematuria,transcatheter arterial embolization was safe and effective. 展开更多
关键词 Renal artery Autosomal dominant polycystic kidney disease gross hematuria Interventional radiology EMBOLIZATION Case report
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一个高效求解含时Gross-Pitaevskii方程的算法
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作者 舒丽莎 董光炯 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2024年第3期84-90,共7页
Gross-Pitaevskii方程广泛应用于玻色-爱因斯坦凝聚体(Bose-Einstein condensate,BEC)的动力学研究,然而这个方程通常很难解析求解.因此发展相应的高精度数值求解方法非常重要.发展了结合算符劈裂法、Crank-Nicolson算法和四阶精度Nume... Gross-Pitaevskii方程广泛应用于玻色-爱因斯坦凝聚体(Bose-Einstein condensate,BEC)的动力学研究,然而这个方程通常很难解析求解.因此发展相应的高精度数值求解方法非常重要.发展了结合算符劈裂法、Crank-Nicolson算法和四阶精度Numerov算法的高效求解Gross-Pitaevskii方程的新数值计算方法.通过数值计算可以表明,与传统的四阶精度的五点差分法相比,所提出的算法具有高效和消耗内存小的优点. 展开更多
关键词 gross-PITAEVSKII方程 算符劈裂法 Crank-Nicolson算法 Numerov算法
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数值求解耦合Gross-Pitaevskii方程组基态解的离散归一化梯度流方法
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作者 赵子尧 马强 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2024年第1期9-14,共6页
本文提出了一种求解磁场项为常数的耦合Gross-Pitaevskii方程组基态解的数值方法.基于单组分近似理论,本文将方程组的能量函数等价为单组分的能量泛函,然后基于降阶后的能量表达式提出了离散归一化梯度流数值方法.数值算例表明,该方法... 本文提出了一种求解磁场项为常数的耦合Gross-Pitaevskii方程组基态解的数值方法.基于单组分近似理论,本文将方程组的能量函数等价为单组分的能量泛函,然后基于降阶后的能量表达式提出了离散归一化梯度流数值方法.数值算例表明,该方法高效且可靠. 展开更多
关键词 耦合gross-Pitaevskii方程组 基态解 单组分近似 归一化梯度流
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Gross Alpha and Beta Activities and Related Lifetime Risks Assessment Due to Ingestion of Drinking Water from Different Sources in the District of Abidjan, Cote d’Ivoire
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作者 Ponaho Claude Kezo Issa Konate Dabo Salif Ignace Agba 《World Journal of Nuclear Science and Technology》 CAS 2024年第1期86-96,共11页
Drinking good quality water is essential for better health. It is therefore essential to assess the radiological quality of all water consumed in the District of Abidjan in order to prevent related hazards. Thus, the ... Drinking good quality water is essential for better health. It is therefore essential to assess the radiological quality of all water consumed in the District of Abidjan in order to prevent related hazards. Thus, the objective of this study was to assess the risk of cancer due to the ingestion of alpha and beta emitting radionuclides in the different types of water consumed in the region. A total of 63 water samples with 43 tap water samples, 5 bottled mineral water and 15 sachet water samples was collected and taken to GAEC laboratory for analysis. The low background Gas-less Automatic Alpha/Beta counting system (Canberra iMatic<sup>TM</sup>) was used to determine alpha and beta activity concentrations. Activity concentrations of both gross alpha and gross beta obtained in water sample were respectively lower than the WHO recommended limits of 0.1 Bq/l and 1 Bq/l. Also, the annual effective dose and total equivalent effective dose found in mineral bottled water samples were higher than in other types of water. The assessment of radiological lifetime risk has shown values of cancer risk due to ingestion alpha and beta emitters lower than recommended limit. These results indicate that there is no health hazard associated to consumption of water in the District of Abidjan. 展开更多
关键词 gross Alpha and Beta Activities Drinking Water Effective Dose Radiological Lifetime Risks
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Effect of VOJTA Therapy on Gross Motor Function in Children with Cerebral Palsy
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作者 Tian Ma Ceng Li Yabo Liu 《Open Journal of Pediatrics》 2024年第2期359-363,共5页
Objective: To investigate the effect of VOJTA therapy on gross motor function in children with cerebral palsy. Methods: The 86 children with cerebral palsy were all from the First People’s Hospital of Jingzhou City f... Objective: To investigate the effect of VOJTA therapy on gross motor function in children with cerebral palsy. Methods: The 86 children with cerebral palsy were all from the First People’s Hospital of Jingzhou City from January 2023-December 2023, and were divided into the control group and the study group with 43 cases according to the principle of voluntariness. Results: In terms of total effective rate of treatment, the gross motor function scale-88 (GMFM-88) was used to evaluate the effective rate before and after treatment, and the effective rate of the study group was higher than that of the control group, and the difference was statistically significant, and the scores of gross motor items of GMFM-88 were better than those of the control group after treatment, and the difference was statistically significant (P 0.05). Conclusion: The application of VOJTA therapy in the treatment of children with cerebral palsy can not only promote the rehabilitation of gross motor function, but also help to improve the treatment effect, and the earlier the treatment, the better. 展开更多
关键词 VOJTA Therapy Children with Cerebral Palsy gross Motor Function
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Public Effective Dose Assessment Using Gross Alpha and Beta Radioactivity Levels of Tap Drinking Water in the District of Abidjan, Cote d’Ivoire
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作者 Ponaho Claude Kezo Issa Konate Tekpo Paul Dali 《Journal of Environmental Protection》 CAS 2023年第3期127-138,共12页
In order to assess public effective dose due to gross alpha and beta in water, 43 tap water samples were collected from different areas in the District of Abidjan. Using the low background Gas-less Automatic Alpha/Bet... In order to assess public effective dose due to gross alpha and beta in water, 43 tap water samples were collected from different areas in the District of Abidjan. Using the low background Gas-less Automatic Alpha/Beta counting system (Canberra iMatic<sup>TM</sup>) for analysis, the gross alpha and beta concentrations found varied from 0.001 ± 0.002 to 0.063 ± 0.050 Bq/l with an average of 0.013 ± 0.012 Bq/l and from 0.067 ± 0.080 to 0.320 ± 0.120 Bq/l with an average of 0.174 ± 0.076 Bq/l, respectively in samples. The public effective dose assessment showed values of dose to ingestion of alpha and beta emitter radionuclides lower than the recommended value of dose for drinking water 0.1 mSv/y, except in 30% of the samples. These results show the need for additional studies to be conducted in order to clarify the hazardousness of these water samples. However, this study still remains important because it has provided necessary data for future tap water quality monitoring studies in the District of Abidjan. 展开更多
关键词 gross Alpha and Beta Concentration Tap Water Effective Dose District of Abidjan
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Interrupted Time Series Analysis of Military and Civilian Regimes in Nigeria: A Statistical Evidence from Gross Domestic Product (GDP)
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作者 Desmond Chekwube Bartholomew Geoffrey Uzodinma Ugwuanyim +1 位作者 Ukamaka Cynthia Orumie Francis Attah Egwumah 《Open Journal of Endocrine and Metabolic Diseases》 2023年第4期635-660,共26页
Governments influence the economy by changing the level and types of taxes, the extent and composition of spending, and the degree and form of borrowing. Governments directly and indirectly influence the way resources... Governments influence the economy by changing the level and types of taxes, the extent and composition of spending, and the degree and form of borrowing. Governments directly and indirectly influence the way resources are used in the economy. Higher taxes, fees, and greater regulations can stymie businesses or entire industries and the resulting impact is reflected on the country’s economy status (strong or weak). The growth rate of GDP is often used as an indicator of the general health of the economy. In broad terms, an increase in real GDP is interpreted as a sign that the economy is doing well. So it is important to study and pay more attention to country’s GDP growth rate. In this paper, an intervention analysis approach was applied to Nigeria GDP data in order to evaluate the performances of military and civilian rules in the country. Data on Nigeria GDP were collected and subjected to interrupted (intervention) time series model. Based on the Alkaike Information Criterion (AIC), Bayesian Information Criterion (BIC) and sigma<sup>2</sup> values, the interrupted time series model ARIMA (1, 1, 0) with exogenous variables (per capita per capita GDP, intervention, year and yearAfter) was identified as the best model amongst other competing models. It was observed that the intervention (civilian rule) was significant at the 10% level of significance in increasing the Nigeria GDP by 10B US$ on the average since 2005 till 2021 while controlling for the effects of other determinants. Also, the ARIMA (1, 1, 0) forecasts indicate that the Nigeria GDP will continue increasing during the civilian rule. As a result, changing from military rule to civilian rule in Nigeria significantly increased the GDP of the country. 展开更多
关键词 ARIMA FORECAST gross Domestic Product NIGERIA INTERVENTION Interrupted Time Series
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Interrupted Time Series Analysis of Military and Civilian Regimes in Nigeria: A Statistical Evidence from Gross Domestic Product (GDP)
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作者 Desmond Chekwube Bartholomew Geoffrey Uzodinma Ugwuanyim +1 位作者 Ukamaka Cynthia Orumie Francis Attah Egwumah 《Open Journal of Statistics》 2023年第4期635-660,共26页
Governments influence the economy by changing the level and types of taxes, the extent and composition of spending, and the degree and form of borrowing. Governments directly and indirectly influence the way resources... Governments influence the economy by changing the level and types of taxes, the extent and composition of spending, and the degree and form of borrowing. Governments directly and indirectly influence the way resources are used in the economy. Higher taxes, fees, and greater regulations can stymie businesses or entire industries and the resulting impact is reflected on the country’s economy status (strong or weak). The growth rate of GDP is often used as an indicator of the general health of the economy. In broad terms, an increase in real GDP is interpreted as a sign that the economy is doing well. So it is important to study and pay more attention to country’s GDP growth rate. In this paper, an intervention analysis approach was applied to Nigeria GDP data in order to evaluate the performances of military and civilian rules in the country. Data on Nigeria GDP were collected and subjected to interrupted (intervention) time series model. Based on the Alkaike Information Criterion (AIC), Bayesian Information Criterion (BIC) and sigma<sup>2</sup> values, the interrupted time series model ARIMA (1, 1, 0) with exogenous variables (per capita per capita GDP, intervention, year and yearAfter) was identified as the best model amongst other competing models. It was observed that the intervention (civilian rule) was significant at the 10% level of significance in increasing the Nigeria GDP by 10B US$ on the average since 2005 till 2021 while controlling for the effects of other determinants. Also, the ARIMA (1, 1, 0) forecasts indicate that the Nigeria GDP will continue increasing during the civilian rule. As a result, changing from military rule to civilian rule in Nigeria significantly increased the GDP of the country. 展开更多
关键词 ARIMA FORECAST gross Domestic Product NIGERIA INTERVENTION Interrupted Time Series
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耦合Gross-Pitaevskii方程的高效保质量守恒格式
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作者 李羽 孔令华 罗奕杨 《江西师范大学学报(自然科学版)》 CAS 北大核心 2023年第2期194-198,共5页
该文为耦合Gross-Pitaevskii方程提出了一个新的保质量守恒格式.首先对空间导数利用高阶紧致格式离散得到半离散格式;然后在时间方向上利用基于外推的Crank-Nicolson格式离散,得到一个半显式的数值格式,然而此格式不能保持GP方程固有的... 该文为耦合Gross-Pitaevskii方程提出了一个新的保质量守恒格式.首先对空间导数利用高阶紧致格式离散得到半离散格式;然后在时间方向上利用基于外推的Crank-Nicolson格式离散,得到一个半显式的数值格式,然而此格式不能保持GP方程固有的质量守恒,因此,对格式得到的数值解利用投影方法进行修正,使其满足离散质量守恒;最后通过数值实验验证了该格式具有高精度以及保持质量守恒. 展开更多
关键词 耦合gross-Pitaevskii方程 投影法 高阶紧致格式 质量守恒
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一类带旋转的Gross-Pitaevskii方程
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作者 陈咨宇 张健 《四川师范大学学报(自然科学版)》 CAS 2023年第6期741-747,共7页
研究带旋转的Gross-Pitaevskii方程的柯西问题.该模型模拟在旋转磁陷阱下的玻色-爱因斯坦凝聚,描述在限制陷阱中旋转多体玻色子的平均场动力学.主要通过使用经典非线性数量场方程的变分特征和方程相关守恒律,依赖于基态的存在性和Viria... 研究带旋转的Gross-Pitaevskii方程的柯西问题.该模型模拟在旋转磁陷阱下的玻色-爱因斯坦凝聚,描述在限制陷阱中旋转多体玻色子的平均场动力学.主要通过使用经典非线性数量场方程的变分特征和方程相关守恒律,依赖于基态的存在性和Virial等式,从而得到爆破解的充分条件. 展开更多
关键词 非线性薛定谔方程 gross-PITAEVSKII方程 角动量 部分限制 爆破解
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基于Gross认知重评的机器人认知情感交互模型 被引量:14
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作者 韩晶 解仑 +2 位作者 刘欣 徐上谋 王志良 《东南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2015年第2期270-274,共5页
为了增强机器人的认知情感分析能力,依据AVS情感空间和有限状态机(FSM)提出了一种基于Gross认知重评策略的认知情感交互模型.首先,通过分析情感状态之间的欧式距离,研究外界情感刺激对情感状态转移概率的影响;然后,采用有限状态机描述... 为了增强机器人的认知情感分析能力,依据AVS情感空间和有限状态机(FSM)提出了一种基于Gross认知重评策略的认知情感交互模型.首先,通过分析情感状态之间的欧式距离,研究外界情感刺激对情感状态转移概率的影响;然后,采用有限状态机描述了受到认知重评策略影响的情感状态转移过程;最后,根据情感状态转移概率和7种基本情感的空间坐标,得出受到刺激后机器人情感状态的空间位置.实验结果表明,与不受认知重评策略影响的情感交互模型相比,所提模型能够减少机器人对外界情感刺激的依赖,从而有效地促进了和谐的人机交互体验. 展开更多
关键词 认知情感交互模型 情感状态转移概率 gross认知重评 AVS情感空间 有限状态机
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一类带阻尼项的Gross-Pitaevskii方程在二维空间中的坍塌性质 被引量:22
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作者 舒级 张健 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第2期120-123,共4页
研究一类描述吸引Bose Einstein凝聚(BEC)的阻尼Gross Pitaevskii(GP)方程iut=-Δu+|x|2u-|u|2u+iau,t≥0,x∈R2,a>0.从偏微分方程的严格理论出发,对照BEC的物理性质,应用并发展了M.Tsutsumi(SIAMJMathAnal,1984,15(2):357~366.... 研究一类描述吸引Bose Einstein凝聚(BEC)的阻尼Gross Pitaevskii(GP)方程iut=-Δu+|x|2u-|u|2u+iau,t≥0,x∈R2,a>0.从偏微分方程的严格理论出发,对照BEC的物理性质,应用并发展了M.Tsutsumi(SIAMJMathAnal,1984,15(2):357~366.)中的有关思想和方法,证明了上述GP方程其初值问题将在一定的条件下发生坍塌现象. 展开更多
关键词 Bose-Einstein凝聚(BEC) gross-Pitaevskii(GP)方程 阻尼 坍塌 调和势
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二维阻尼Gross-Pitaevskii(GP)方程的整体解 被引量:10
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作者 舒级 张健 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第1期23-26,共4页
考察一类描述吸引Bose Einstein凝聚(BEC)的二维阻尼Gross Pitaevskii(GP)方程iφt=-Δφ+|x|2φ-|φ|2φ+ia|φ|4φ,t≥0,x∈R2,a<0.借鉴文献(CommunMathPhys,1983,87:567~576.)关于经典Schr dinger方程研究的思想和结果,建... 考察一类描述吸引Bose Einstein凝聚(BEC)的二维阻尼Gross Pitaevskii(GP)方程iφt=-Δφ+|x|2φ-|φ|2φ+ia|φ|4φ,t≥0,x∈R2,a<0.借鉴文献(CommunMathPhys,1983,87:567~576.)关于经典Schr dinger方程研究的思想和结果,建立GP方程与一个经典的非线性数量场方程的对应关系,得到方程的整体解存在的一个充分条件. 展开更多
关键词 二维阻尼gross-Pitaevskii方程 BOSE-EINSTEIN凝聚 整体解 GP方程 非线性数量场方程
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含时线性势Gross-Piteavskii方程的孤立波解 被引量:3
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作者 石玉仁 许新建 +4 位作者 吴枝喜 汪映海 杨红娟 吕克璞 段文山 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第4期131-135,共5页
首先对双曲函数法进行了扩展,使其可用于求解变系数非线性演化方程,然后用此方法成功得到了Gross-Pitaevskii方程在某含时线性势下的两类精确解.结果表明在吸引势情形下,方程存在钟形包络孤立波解;在排斥势情形下,存在扭结形包络孤立波... 首先对双曲函数法进行了扩展,使其可用于求解变系数非线性演化方程,然后用此方法成功得到了Gross-Pitaevskii方程在某含时线性势下的两类精确解.结果表明在吸引势情形下,方程存在钟形包络孤立波解;在排斥势情形下,存在扭结形包络孤立波解.该方程可用来描述重力场中在随时间变化的外磁场作用下的玻色—爱因斯坦凝聚体的演化过程,故所得解具有重要的物理意义. 展开更多
关键词 gross-Piteavskii方程 扩展双曲函数法 精确解 孤立波解
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Gross-Pitaevskii方程的数值解及其动力学研究(英文) 被引量:6
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作者 花巍 刘学深 丁培柱 《计算物理》 EI CSCD 北大核心 2006年第4期483-488,共6页
采用辛-打靶法求解了简谐势阱中碱金属玻色-爱因斯坦凝聚原子在T=0时的基态波函数,检验了波函数的稳定性,并研究了当简谐势阱突然改变时波函数随时间演化的动力学.
关键词 gross-PITAEVSKII方程 基态解 动力学研究
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亚纯函数唯一性的Gross问题 被引量:2
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作者 宋国栋 李农 《数学年刊(A辑)》 CSCD 北大核心 1996年第2期189-194,共6页
F.Gross提出问题:能否找到两个(甚至一个)有穷集会Sj(j=1;2),使得满足Ef(Sj)=Eg(Sj)(j=1,2)的任何两个整函数f和g必定恒等,这里Ef(Sj)表示Sj关于f的逆像,计重数.仅供助[6]对于亚纯函f,和g对此问题作了肯定的回... F.Gross提出问题:能否找到两个(甚至一个)有穷集会Sj(j=1;2),使得满足Ef(Sj)=Eg(Sj)(j=1,2)的任何两个整函数f和g必定恒等,这里Ef(Sj)表示Sj关于f的逆像,计重数.仅供助[6]对于亚纯函f,和g对此问题作了肯定的回答.本文以(S)和(S)代替EF(S)和Eg(S),对这个问题作了进一步的讨论,这里(S)是与Ef(S)相同的点集,但不计重教. 展开更多
关键词 整函数 唯一性 半纯函数 gross问题
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具阻尼的Gross-Pitaevskii方程在二维空间中的坍塌性质 被引量:4
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作者 舒级 张健 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第1期16-18,共3页
讨论出现在吸引玻色-爱因斯坦凝聚中的一类阻尼Gross-Pitaevskii(GP)方程(在数学上又称为带调和势的阻尼非线性Schr dinger方程)itφ+Δφ-|x|2φ+|φ|2φ+iλφ=0,其中t 0,x∈R2,λ是阻尼参数.对照玻色-爱因斯坦凝聚的物理性质,参考R.T... 讨论出现在吸引玻色-爱因斯坦凝聚中的一类阻尼Gross-Pitaevskii(GP)方程(在数学上又称为带调和势的阻尼非线性Schr dinger方程)itφ+Δφ-|x|2φ+|φ|2φ+iλφ=0,其中t 0,x∈R2,λ是阻尼参数.对照玻色-爱因斯坦凝聚的物理性质,参考R.T.Glassey(J.Math.Phys.,1977,18:1794-1797.)的结果,运用能量方法,得到了一个较为简单的判别条件,当初值满足该条件时,初值问题的解将在有限时间内坍塌. 展开更多
关键词 玻色-爱因斯坦凝聚 Schro··dinger方程 调和势 阻尼 gross-Pitaevskii(GP)方程
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关于Gross问题的一个注记 被引量:7
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作者 方明亮 徐万松 《数学年刊(A辑)》 CSCD 北大核心 1997年第5期563-568,共6页
本文研究亚纯函数的唯一性,得到了如下结果.设S={z:z3-z2-1=0},f(z)与g(z)是满足Θ(∞,f)>12,Θ(∞,g)>12,的两个非常数亚纯函数.若E(0,f)=E(0,g),E(S,f)=E(S,g... 本文研究亚纯函数的唯一性,得到了如下结果.设S={z:z3-z2-1=0},f(z)与g(z)是满足Θ(∞,f)>12,Θ(∞,g)>12,的两个非常数亚纯函数.若E(0,f)=E(0,g),E(S,f)=E(S,g)以及E(∞,f)=E(∞,g),则f(z)≡g(z). 展开更多
关键词 亚纯函数 整函数 唯一性 gross问题 值分布
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