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无穷维谱不变可积发展方程在有限维不变子流形上的约化——谱不变发展方程的周期解
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作者 李忠定 曹策问 牟卫华 《石家庄铁道学院学报》 2000年第3期87-94,共8页
利用广义 Legendrge变换 ,证明了无穷维的可积方程 utm=JδHmδu可约化为在一个不变子流形 S上有限维可积的 Hamiltonian系统 ,即证明了在非奇异条件下 Flaschka[1]和Ablowitz所提出的无穷维可积系统的约化原理 ,从而求得了方程 utm=J... 利用广义 Legendrge变换 ,证明了无穷维的可积方程 utm=JδHmδu可约化为在一个不变子流形 S上有限维可积的 Hamiltonian系统 ,即证明了在非奇异条件下 Flaschka[1]和Ablowitz所提出的无穷维可积系统的约化原理 ,从而求得了方程 utm=JδHmδu( m=0 ,1 ,2 ,… )的周期或拟周期解 ,这一结果将 P.D.L[2 ,3] 、Novi Kov[4] 的关于 Kdv方程的周期或拟周期解的结果推广到了一般的谱不变 Hamiltonian可积方程上去。作为特例 ,讨论了 AKNS族。 展开更多
关键词 无穷维可积发展方程 约化原理 对合性 子流形
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Nitrous Oxide and Methane Fluxes During the Maize Season Under Optimized Management in Intensive Farming Systems of the North China Plain 被引量:1
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作者 SHI Yue-Feng WU Wen-Liang +4 位作者 MENG Fan-Qiao ZHENG Liang WANG Da-Peng YE Hui DING Guang-Wei 《Pedosphere》 SCIE CAS CSCD 2014年第4期487-497,共11页
Addressing concerns about mitigating greenhouse gas (GHG) emissions while maintaining high grain yield requires improved management practices that achieve sustainable intensification of cereal production systems. In... Addressing concerns about mitigating greenhouse gas (GHG) emissions while maintaining high grain yield requires improved management practices that achieve sustainable intensification of cereal production systems. In the North China Plain, a field experiment was conducted to measure nitrous oxide (N2O) and methane (CH4) fluxes during the maize (Zea mays L.) season under various agricultural management regimes including conventional treatment (CONT) with high N fertilizer application at a rate of 300 kg N ha-1 and overuse of groundwater by flood irrigation, optimal fertilization 1 treatment (OPTIT), optimal fertilization 2 treatment (OPT2T), and controlled-release urea treatment (CRUT) with reduced N fertilizer application and irrigation, and a control (CK) with no N fertilizer. In contrast to CONT, balanced N fertilization treatments (OPT1T, OPT2T, and CRUT) and CK demonstrated a significant drop in cumulative N20 emission (1.70 v.s. 0.43-1.07 kg N ha-l), indicating that balanced N fertilization substantially reduced N20 emission. The vMues of the N20 emission factor were 0.42%, 0.29%, 0.32%, and 0.27% for CONT, OPTIT, OPT2T, and CRUT, respectively. Global warming potentials, which were predominantly determined by N20 emission, were estimated to be 188 kg CO2-eq ha-1 for CK and 419-765 kg CO2-eq ha-1 for the N fertilization treatments. Global warming potential intensity calculated by considering maize yield was significantly lower for OPT1T, OPT2T, CRUT, and CK than for CONT. Therefore, OPTIT, OPT2T, and CRUT were recommended as promising management practices for sustaining maize yield and reducing GHG emissions in the North China Plain. 展开更多
关键词 balanced N fertilization CH4 global warming potential greenhouse gases maize yield N20
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