但这一偏微分方程不能直接积分，所以通常用纳维法、瑞利-里兹法、有限差分方法等方法求解。
But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.
本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.
机翼的运动方程可以写成四维一阶常微分方程，取广义气流速度和线性俯仰刚度作为分岔参数。
The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.
列出二阶偏微分方程，采用一维方法求解得到了磁场、涡流的解析表达式。
Second order partial differential equations were given. They were solved by one-dimension method and analytical solutions for magnetic field and eddy current were obtained.
本文针对一维多孔介质的第一类边界条件，对高强度快速干燥条件下热质交换的普遍微分方程组进行求解。
In this paper, heat and mass transfer under the first boundary condition during high intensive and rapid drying process is analysed and the general differential equation group is resolved.
这一表达式仅依赖于中面的位移分量，后者由一组类似于经典板理论的二维微分方程控制。
This representation relies only on the displacement components of the mid_plane, which are governed by a set of two_dimensional differential equations similar to those in the classical plate theory.
控制方程是一维非定常气体动力学偏微分方程组，用隐式中心差分结合特征线法解算。
The numerical solution of the governing equations, pertaining to one-dimensional unsteady gas dynamics, utilizes an implicit finite-difference scheme combined with the method of characteristics.
本文研究拖索稳态理论的三维问题，建立了微分方程，提出了一个简便的积分方法，并且用优化方法处理与此相联系的边值问题。
The three-dimensional steady state theory of towing cable is studied, with differential equations derived and a simple method of integration suggested.
高维守恒律方程的研究是非线性偏微分方程的最具有挑战性的方向之一。
The research on multi-dimensional conservation laws is one of the most challenging direction in the field of nonlinear partial differential equation, it is very important and very difficult.
采用降阶和特征根 （欧拉 ）方法 ，给出了一类三维二阶常系数微分方程组的通解公式 ，并通过算例与拉氏变换法进行了比较。
With the variable replacement method, general solution formulae were given to the linear differential systems with complex constant coefficients and that with a class of complex variable coefficients.
自由电子的运动学由自由狄拉克方程——一个四维系统的偏微微分方程描述。
The kinematics of free electrons is described by the free Dirac equation, a four-dimensional system of partial differential equations.
将饱和土作为二相介质，考虑土骨架和孔隙流体之间的摩阻力，建立了饱和土中一维压缩波传播的二相动力分析控制微分方程，采用有限差分法求解。
In this paper, the saturated soil is dealt with as a two phase media. Thefric 'ion between the soil skeleton and porous liquid is considered.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
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