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In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

本论文建立了系统的暗孤子直接微扰方法,在对前人关于暗孤子微扰方法的错误以及亮孤子直接微扰方法的本质作了充分的分析后,认识到引入平方Jost解的伴随解和证明完备性是问题的关键,撇开过去亮孤子情况首先引入伴随算子的非必要作法,直接从平方Jost解与其伴随解的内积在连续谱时正比于δ函数这一正交性要求出发,找出了伴随解,同时得出了应有的伴随算子,在考虑到约化变换性后,得到了暗孤子情况的平方Jost解的完备性的正确表述,并在单个暗孤子的情况利用平方Jost解的显式直接验证了它的正确性。

The results showed that the best carbon source was sucrose in which sporulation (16.13×10^7 conidia/cm^2) and extracellular protease 117.38 μg/(minmL reached the highest. The bean cake was the best nitrogen nutrition in which the quantity of conidium (15.62×10^7 conidia/cm^2) and extracellular protease 74.01 μg/(minmL were much higher than that of the contrast and inorganic salts.

综合各项指标得出,HFW-05菌株生长的最适碳源为蔗糖,产孢量与产酶量最大,分别为16.13×10^7孢子/平方公分和117.38μg/;最适氮源为豆粕粉,其产孢量和酶活远高于对照和无机盐类,分别为15.62×10^7孢子/平方公分和74.01μg/。

If one square inch of copper is used as a heat dissipator for the TO-252, the J-A drops to approximately 50C/W. The SOT-223 package has a J-A of approximately 125C/W when soldered down to a minimum sized pattern (less than 0.1 square inch) and approximately 70C/W when soldered to a copper area of one square inch.

如果一平方英寸的铜是作为的TO - 252热消使用时,司法机构政务长下降到大约50 / W的的SOT - 223封装具有的司法机构政务长大约125C / W的焊接时下跌不到0.1平方英寸的最小尺寸为1型和大约70 / W型焊接时,一铜一平方英寸面积。

Isobutane has a specific gravity of 0.56, a boiling point of 11°F at 14.7 psi, a vapor pressure of 72 psia at 100°F, a critical temperature of 275°F, and a critical pressure of 529 psia.

异丁烷的相对密度为0.56,在14.7磅/平方英寸压力下的沸点为11°F,在100°F温度下的蒸气压力72磅/平方英寸,临界温度为275°F,临界压力为529磅/平方英寸。

The existence of global weak solution for a class of generalized Ginzburg-Landau equations with an inhomogeneous boundary condition was studied. Some integral indentities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced, by which a priori estimates of the square norm on boundary of normal derivative and the square norm of partial derivatives were obtained.

研究具非线性边界条件的一类广义Ginzburg_Landau方程解的整体存在性·推导了Ginzburg_Landau方程的非齐次初边值问题光滑解的几个积分恒等式,由此得到了解的法向导数在边界上的平方模以及解的平方模和导数的平方模估计;通过逼近技巧、先验估计和取极限方法证明了Ginzburg_Landau方程的非齐次初边值问题整体弱解的存在性

Focusing properties of elegant cosh square Gaussian and Sinh square Gaussian beams through a thin lens are studied in detail. And intensity distribution on the axis and focusing intensity distribution are analyzed. Also focal shift of Sinh square Gaussian beams are studied.

详细研究了复宗量双曲余弦平方-高斯光束和双曲正弦平方-高斯光束通过薄透镜时的聚焦特性,分析了光束的轴上光强分布和聚焦场的光强分布,讨论了双曲正弦平方-高斯光束的焦移。

It is found that amplitude-squared squeezing can be created by 4-photon unitary operator S4 acting on the vacuum state and this shows that the amplitude-squared squeezing can be created by 4-photon unitary operator S4 acting on the vacuum state and this shows that the amplitude-squared squeezing is a new nonclassical effect of light field which is independent of the second order squeezing, antibunching and sub-poisson statistics.

发现4个光子么正算符S4对真空态的作用可以产生振幅平方压缩,这表明振幅平方压缩是一种独立于二阶压缩、反聚束以及亚泊松统计分布的新的光场非经典效应。标签 K光子么正算符相干态真空态振幅平方压缩 K-photon unitary operator coherent state vacuum state amplitudesquared squeezing

Reasults The alba, ectocinerea and whole brain ADC value of healthy dog brain are 71.89±(4.97 ×10^(-5)mm^2/s,(69.77±4.33)×10^(-5)mm^2/s and (70.83±4.74)×10^(-5)mm^2/s.

结果 犬脑正常白质的ADC值是(71.89±4.97)×10^(-5)平方公厘/s,灰质是(69.77±4.33)×10^(-5)平方公厘/s,全脑组织是(70.83±4.74)×10^(-5)平方公厘/s。

By analyzing the change of soil carbon pool, during the whole rice growing stage, paddy soil of every three treatments sequestrated equivalently CO2-C of 675.55 g/m^2 by rice-duck field, 575.43g/m^2 by conventional paddy field and 562.62 g/m^2 by rice-fish field.

采用土壤有机碳库的变化估算土壤CO2净交换通量,水稻整个生育期间,三类稻田土壤亚系统均表现为对CO2的净固定,相当于固定CO2量分别为RD675.55g/平方公尺、CK575.43g/平方公尺、RF562.62g/平方公尺。

The grass coverage (19.21%) and biomass (44.07g/m^2) in the OTC were significantly higher than those in the control (8.04% and 18.1g/m^2, respectively), while the forbs coverage (72.8%) and biomass (210.54g/m^2) in OTC were significantly lower than those in the control (83.5% and 244.9 g/m^2, respectively).

OTC内禾草的盖度(19.21%)及生物量(44.07g/平方公尺),均显著大于对照样地(8.04%和18.1g/平方公尺),而杂类草的盖度(72.8%)及生物量(210.54g/平方公尺)均显著小于对照样地(83.5%和244.9g/平方公尺)。

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