查询词典 compatible system of algebraic equations

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。

According to the characteristics of peaked soliton solution, the undetermined coefficient method for solving nonlinear wave equations for their peaked soliton solutions is submitted and by means of the method several kinds of peaked soliton solutions are obtained for five nonlinear wave equations: the Camassa-Holm, fifth -order KdV-like, generalized Ostrovsky, combined KdV-mKdV and Klein-Gordon equations.

刘煜 河南电力试验研究院，郑州 450052根据尖峰孤子解的特点，提出了一种待定系数法求非线性波方程尖峰孤子解的思路和方法，并利用该方法求解了5个非线性波方程，即CH（Camassa-Holm方程、五阶KdV-like 方程、广义Ostrovsky方程、组合KdV-mKdV方程和Klein-Gordon方程，比较简便地得到了这些方程的尖峰孤子解。

The structural form of the model consists of 66 simultaneous equations, including 28 stochastic equations and 38 definitional equations and identities.

模型的结构型由66个方程联立组成，其中随机方程28个，恒等式和定义式38个。

Calculation of specific volume of blends based on equations of state ;2. Equations of state of MgB_2 from first-principles calculations;3. With hydrodynamical model and equations of state ,calculate the results of final state distributions of ~(197)Au—~(197)Au collisions at 100+100 GeV per pair of nucleons.

应用流体动力学模型，分别采用包含相变的状态方程和不含相变的状态方程，计算了每对核子能量为100GeV~(197)Au—~(197)Au 碰撞的末态碎裂时空分布、末态快度分布，并分析讨论了影响末态分布的因素。

According to the number of unknown variables in ideal element fitting, variable substitution is adopted to convert the overdetermined nonlinear equations into overdetermined linear equations. Cumulative sum operator is used to solve the overdetermined linear equations.

根据理想要素拟合过程中待求未知量的个数，运用变量代换，将非线性超定方程组转化为线性超定方程组；对变换后的超定线性方程组施加累积算子，进行未知数求解；最后用仿真实例进行了分析，并与CIRP方法进行比较。

The new set of equations is useful in the evaluation of the potential effect of slantwise isentropic surfaces on the evolution of mesoscale systems since the potential temperature is included explicitly in the dynamic equations of the new set of equations.

本文通过推导绝热、无摩擦大气方程组，讨论了新方程组的特点；新方程组中，位温显式出现在动量方程中，有利于探讨倾斜的等熵面对中尺度系统发生和发展的影响。

The present study focuses on some important aspects of LES technology. It includes review of LES development, fundamental theory and equations and numerical implementation. The procedure of LES consists of filtering Navier-Stokes equation, modeling subgrid scale, closuring the set of equations and solving the numerical equations.

本文对大涡模拟的研究集中在以下几个方面：首先回顾了大涡模拟技术发展的历程，它的理论基础与滤波方程组，以及它在CFD程序中的数值模拟实现：包括滤波NS方程，模化亚网格量，封闭滤波方程，求解滤波方程。

Then, we combine the analysis of the scale-effects with the simplification of the NavierStokes equations, and study numerically the feasibility and efficiency of the generalized diffusion parabolized Navier-Stokes equations and the large-small scale equations applying to the high Reynolds number flows (GNS for laminar flow and LSS for turbulent flow).

首先从数值方法上构造了一些高精度差分格式，然后将尺度效应的分析与流体力学基本方程组的简化近似相结合，通过数值分析和计算研究了广义扩散抛物化NS方程组和流体运动大小尺度方程组用于高Re数流动的可行性和有效性。

The dynamics equations of soil water vaporizing and ammonia volatilizing hcluding the factors of water and temperature, and the dynamics-like equation of urea transforming into ammonium nitrogen in soil are founded in the paper, by taking the effect of interaction of water and temperature as subject, the dynamic change character of object studied as basis and using principle of chemical dynamic; The empirio-equations of soil water retention curve including temperature and the empirio-equations including temperature between water potential of millet seedling leaves and soil water are founded in order to make the equation of relation between water potential and water content in soil suit the demand of temperature change much better.

本文以水热耦合效应为主题，基于研究对象的动态变化特征，应用化学动力学原理，建立了含水、热因子以及水热耦合效应的土壤水分蒸发、肥料氨挥发动力学方程，以及施入土壤中的尿素转化为铵态氮的动力学型方程；为使水势—含水量关系式更好适应变温条件应用的要求，建立了含温度因子直接表征土壤持水曲线的经验方程，以及含温度因子的谷苗叶水势与土壤含水量关系经验方程。

The dynamics equations of soil water vaporizing and ammonia volatilizing hcluding the factors of water and temperature, and the dynamics-like equation of urea transforming into ammonium nitrogen in soil are founded in the paper, by taking the effect of interaction of water and temperature as subject, the dynamic change character of object studied as basis and using principle of chemical dynamic; The empirio-equations of soil water retention curve including temperature and the empirio-equations including temperature between water potential of millet seedling leaves and soil water are founded in order to make the equation of relation between water potential and water content in soil suit the demand of temperature change much better.

本文以水热耦合效应为主题，基于研究对象的动态变化特征，应用化学动力学原理，建立了含水、热因子以及水热耦合效应的土壤水分蒸发、肥料氨挥发动力学方程，以及施入土壤中的尿素转化为铵态氮的动力学型方程；为使水势—含水量关系式更好适应变温条件应用的要求，建立了含温度因子直接表征土壤持(来源：A9eBC7b4b论文网www.abclunwen.com)水曲线的经验方程，以及含温度因子的谷苗叶水势与土壤含水量关系经验方程。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。