设计了求解这组耳相耦合方程组的数值编码。
A numerical code for solving these coupled equations is designed.
本文分别对三类非线性耦合方程组求解，得到了系统的孤波解。
In this paper, three classes of coupled nonlinear equations are solved respectively, and we obtain solitary wave solution of systems.
此方法大大减少了公式推导量，而且得到的是降阶的耦合方程组。
This method obviously simplifies the derivation of formulas, and obtains the coupled equations with lower order.
采用加权残值法对耦合方程组进行有限元离散，并推导相应的弹塑性矩阵。
The governing equations are discredited by using Galerkin method, and the matrix for elastoplastic constitutive model is also deduced.
对多孔介质快速干燥过程的传热与传质耦合方程组导出了两套代数显式解析特解。
Two algebraically explicit analytical solutions of the governing equation set for the coupled heat and mass transfer process of rapid drying in porous media are derived.
模型以有限体积法离散，SIMPLEC方法求解速度、压力和温度耦合方程组。
The coupled velocity, pressure and temperature equations are discretized by the finite volume method and solved by SIMPLEC method in this model.
介绍了以掺磷光纤为增益介质的一阶喇曼光纤激光器的一般结构模型和耦合方程组。
A typical structural model and a coupled equation group of a one-order Raman fiber optical laser using P-doped optical fiber as its gain medium are presented.
本文证明了一类二阶非线性双曲—抛物耦合方程组小初值问题整体解的序在唯一性。
In this paper, we prove the global existence and uniqueness of the solutions of the small initial value problems for a class of second order nonlinear hyperbolic - parabolic coupled systems.
但当侧重频谱的具体特性时，则必须采用考虑自耦合系数的耦合方程组的数值解进行优化设计。
However, the numerical analysis of coupled-mode equation with self-coupling coefficient is demanded for the insight of the spectral of LPFG coupler.
在平面波近似下，给出了双调Q激光运转的耦合方程组，数值求解方程组得到的理论值与实验结果相符。
The coupled rate equations under the plane-wave approximation are used to simulate the Q-switched process of the laser, and the numerical solutions accord well with the experimental results.
把傅里叶频谱分析方法引入棱镜-薄膜波导耦合系统的输入输出耦合问题，快速而完整地求解了系统输入输出耦合方程组。
The Fourier spectral analysis method is applied to the input-output coupling problem of a prism-thin film waveguide system. The input-output coupling equations are solved fast and exactly.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
本文将协变延拓结构理论首次应用于非均匀两分量耦合非线性薛定谔方程组。
In this paper, for the first time, the covariant prolongation structure theory is applied to coupled inhomogeneous nonlinear Schrodinger equations.
利用线性叠加原理，通过求解两组代数方程组，从而分离出点力与点电荷的耦合作用。
Then by the principle of superposition and solving two sets of algebraic equations, the interaction between the point force and the point charge was uncoupled.
文章的研究方法，为求解耦合的非线性微分方程组的行波精确解组探索了蹊径。
The research methods in this paper provide certain ways for obtaining the traveling wave accurate solutions of the coupling nonlinear differential equations.
将气囊浮力力矩平衡关系式引入方程组，使多输入双输出耦合系统简化为多输入单输出系统。
The buoyancy force moment balance equation imposed simplifies the multi-input twi-output coupling (system) into multi-input single output system.
数值求解了SBS耦合波方程组，得到了SBS诱导应力的时空分布。
The SBS coupled wave equations are solved numerically and laser induced stress is obtained spatially.
求得了速度和温度的耦合非线性方程组的近似解。
Approximate solutions for the coupled non-linear equations are obtained for the velocity and the temperature.
第二章用上下解的方法来研究耦合半线性抛物方程组的动力学行为，给出了解的渐近行为。
The dynamics of coupled systems of semilinear parabolic equations are investigated using the method of upper and lower solutions. The asymptotic behavior of the solutio is given.
依据钻孔设备高速滚珠轴承动态特性的辅助方程，进行了根本变量的分析，得到了各个方程组变量相互耦合的关系图和根本变量。
The paper analyzes the ultimate variables and acquires the relationship and ultimate variables according to the auxiliary dynamic equations of high-speed ball bearing in drilling equipments.
讨论了一类弱耦合反应扩散方程组的初边值问题的奇摄动。
The singular perturbation of the initial boundary-value problem for a kind weakly coupled reaction-diffusion equation system is discussed.
通过变换，给出太阳帆板、航天器中心刚体耦合运动微分方程组。
By transformation, the differential equation group of couple motions of solar wings and the central rigid body of the spacecraft is obtained.
刚柔耦合多体机械系统动力学微分方程组具有刚性和高频振荡的特点。
The dynamical equations of rigid flexible coupling multibody systems have characters of stiffness and high frequency oscillation.
利用烧蚀和导热计算方程组中二者的结合部，通过充分耦合，获得了更准确的预示计算结果。
Finally, a more accurate calculation result is obtative with a full consideration of the coupling term in both ablative equation and heat-conduction equation.
通过变分求解，最后只需要求解两个变量耦合的方程组；
Then the problems consist in solving a system with two coupled equations.
提出了用初始层校正法求解机电耦合系统状态方程组的方法，获得了问题的渐近解析解。
In this paper, a method of using initial layer correction to solve the electromechanical coupled systems is submitted, an asymptotic solution of analysis are obtained.
从两个平行轴粘弹性圆柱体的接触问题出发，可以得到一个法向接触和切向接触耦合的积分方程组。
From the rolling contact problem of two viscoelastic cylinders with parallel axis, a series of normal-tangent contact coupled integration equation is obtained.
建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
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