查询词典 structure equations

Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.

第二章中研究了非线性发展方程的精确解：用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能，它不但使我们能找到已知解而且也能找出新的根式孤立波解；用齐次平衡法给出一个曲面波方程的精确孤立波解，并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法，作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等；用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解；提出sine-Gordon型方程的直接求解方法，并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。

Firstly, the system of coupled first-order differential equations of the generalized telegrapher's equations was converted to a system of second-order differential equations.

首先，将时域耦合波方程组的关于轴向z的一阶关联偏微分方程组形式化为二阶偏微分方程组形式；然后采用时域有限差分法"预测-校正"方式对其进行求解。

Through the hypersingular integral equations of 3-d crack perpendicular to the interface given in the preceding, the principles of finite-part integrals and of limit are further made use of to pick the hypersingular integral equations of 3-d crack terminating at the interface On the basis of the equations, starting strictly from 3-d theory of elasticity, stress singularities of intersection-line near the front edge of the 3-d crack terminating at the interface are analyzed by virtue of dominant-part analysis of 2-d hypersingular integrals.

根据前面所得到的与界面垂直的单片裂纹超奇异积分方程，进一步运用有限部积分原理和极限理论，推导出了与界面垂直相抵的三维平片裂纹的超奇异积分方程。在此基础上，严格从三维理论出发，使用二维超奇异积分的主部分析方法，对与界面垂直相抵的三维平片裂纹前沿交线上的应力奇性指数进行了分析。

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 equations of the towed cable motion are based on Ablow and Schechter model and six degree-freedom ordinary differential equations are used in the analysis of the motion of a towed body. The partial differential equations are discretized by finite difference method and the transient values of towed body depth and cable tension are computed by Newton Iteration when the heave compensation system performs and the length of the cable varies.

拖缆动力学模型基于Ablow and Schechter模型，拖体采用水下运载体六自由度方程模拟，运用有限差分法离散偏微分方程组和牛顿迭代法计算变缆长情况下拖体深度与拖缆各点张力的动态取值。

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。

Metrorrhagia is also gynaecological problems of common diseases.

崩漏是妇科常见病也是疑难症。

WordFTP gives you the convenience and timesaving you need.

wordftp让您的方便和省时您所需要的。