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By means of the undetermined coefficient method ,which is submitted in reference for solving nonlinear wave equations for their peaked soliton solutions ,three kinds of peaked soliton solutions are obtained for two important nonlinear wave equations— Korteweg-de Vries equation and Benjamin-Bona-Mahonyequation,respectively. One kind of peaked compacton solution ,which has the characteristics of both peaked soliton solution and compacton solution ,is obtained for above two equations with the aid of transformation relation between triangle function and hyperbolic function,. By use of above solutions, two kinds of periodic peaked traveling wave solutions are constructed.

摘 要：利用文献中提出的求非线性波方程尖峰孤子解的方法，分别求解了两个重要的非线性波方程—Korteweg-de Vries 方程和Benjamin-Bona-Mahony BBM）方程，得到了3类尖峰孤子解；借助双曲函数与三角函数间的变换关系得到了1类尖峰紧孤子解，该型解兼有尖峰孤子解和紧孤子解的特点；在上述结果的基础上构造了2个周期性的尖峰行波解。

In surface shape identification we introduce the uniform flat metric and the hyperbolic uniformization metric.

在曲面识别方面，本文介绍了平坦度量和一致度量的概念。

In Chapter Ⅲ, we introduce some special case of Unitary groups, and give out the normality of the elementary group of hyperbolic Unitary group.

在第三章中，本文介绍了几类特殊的酉群和双曲空间上酉群U_(2n)的基本子群的正规性定理。

The feedback controls, including linear, speed, doubly-periodic function, hyperbolic function and trigonometric function are used to suppress chaos to one of the three unstable equilibrium. The Routh-Hurwtiz theorem is applied to derive the conditions of stability of the controlled system.

利用反馈控制方法，包括线性、速度、双周期函数、双曲函数和三角函数反馈控制方法将系统的混沌运动控制到稳定态，根据Routh-Huriwtz准则获得了系统达到控制目标时反馈系数所满足的条件。

Utilized the correlative knowledge of mathematics and theoretical mechanics, the movement measure of the rolling forming of rectangle ring have been studied that based on the ring rolling theory. And the corresponding geometrical models and mathematical models have been established. It was revealed the variation law of ring in the cold rolling process.With the rolling processing, the inside and outside diameters of ring gradually increased with the cures similarly hyperbolic and the augment speed of the inside diameter was obviously larger than the augment speed of the outside diameter. With the rolling processing, the displacement, speed and acceleration of the ring centre gradually increased in the feeding direction in the horizontal and vertical ring rolling mill. With the rolling processing, the moment of inertia which ring reeled its centre and the whirligig of ring gradually increased. It caused the rotary speed gradually decreased. And it was benefit to decrease the circle tolerance and improve the precision of final molding.

本文基于环件轧制理论，运用相关的数学知识和理论力学知识，研究了冷轧过程中矩形截面环件轧制成形的运动测量，并建立相关的几何模型和数学模型，揭示了冷轧过程中环件的变化规律：随着轧制过程的进行，环件的内外径随类似于双曲线的曲线逐渐增大，且环件内径增大速度大于外径增大速度；在卧式轧环机和立式轧环机下，随着轧制过程的进行，环件中心的位移、速度及加速度不断增大；随着轧制过程的进行，环件绕其中心的转动惯量不断增大，导致环件的转速不断减小，这样有利于环件的整圆和最终成形环件的精度。

Common conversion point binning and non hyperbolic normal moveout are two key points to CCP stacking for converted waves.

转换波共转换点(CommonConversionPoint简称CCP)叠加的关键在于CCP抽道集和非双曲线正常时差校正NMO 。

After studying CCP stacking technique in details, we presented new formulas for CCP points and non hyperbolic time distance relation, and as well, gave an implementation for CCP binning.

我们对CCP叠加技术进行了系统研究，导出了新的CCP位置计算公式和非双曲线时距关系式，并给出了具体的CCP抽道集方法。

In particular, we propose conditional correlations with a bivariate hyperbolic distributions method to dominate GSV hedge ratios.

特别的，我们提出在双重双曲线分配方法下的条件关系系数，并且应用在控制广义的半变异数期货避险值上。

The nonlinear hyperbolic conservation laws of the transient flow of the media in gas pipeline are hard to he solved, so, the control conservation laws are constituted of mass, momentum arid energy conservation laws, TVD/Godunov hydrid algorithm is used to simulate the transient flow in gas pipeline, and the traditional splitting approach processing nonlinear convection in momentum equation is dismissed ,the convection tern; is directly processed, in the way, the stablization of the algorithm and emulating accuracy of the transient flow are greatly improved.

针对管道中介质瞬变流动的非线性偏微分方程组难以解析求解的问题，由质量、动量、能量三个偏微分方程构成的控制方程组，应用TVD/Godunov混合算法数值模拟天然气管道中气体的瞬变流动，摒弃了传统的差分方法时动量方程非线性时流项的线性化处理，而直接处理非线性对流项，从而大大提高了算法的稳定性和管道瞬变流动的仿真精度。

According to the analysis, the 3D interference images are hyperboloidal beams and the 2D interference images are hyperbolic beams.

同时也分析出三维干涉图像为双曲面族，以及二维干涉图像为双曲线族的图像特征。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。