In this paper we improve some key steps in the homogeneous balance method, then by using this method we are able to obtain multiple soliton solutions of some nonlinear partial differential equations.
对齐次平衡法的一些关键步骤进行拓宽，获得了一系列非线性方程的多孤子解，使得对非线性方程的多孤子解的求解方法更加直接，且许多步骤可以利用计算机完成。
Then, by using the image icon's ID, you can set an icon for each of the checkbox's states.
然后，通过使用图像图标的ID，可以为复选框的每种状态设置一个图标。
Then, by using an example of one customer requirement, this article has shown how to develop, deploy, and use a role selector widget to meet the requirement.
然后本文通过一个客户需求样例，演示了如何开发、部署及使用角色选择器小部件来满足用户需求。
Then, by using your favorite code editor, type the program shown in Listing 1 in the $HOME/src/hw directory, and call it hw.c.
然后，使用您最喜欢的代码编辑器，在 $HOME/src/hw目录中输入清单1中的程序，并命名为 hw.c。
Then by using Poincare-Bendixson theorem sufficient conditions for the existence of limit cycles are obtained.
在此基础上，利用微分方程的环域定理获得了所述系统存在极限环的条件。
Then by using the qualitative analysis theory of nonlinear equation, a nonlinear dynamical mechanism of formation of binary stars is obtained.
应用非线性方程的定性分析理论，获得双星演化的非线性动力学机制。
Then by using multi-dimension Laplace transform, the computation formula of nonlinear transfer function matrices for MIMO bilinear system are deduced.
然后，利用多维拉普拉斯变换，推导出双线性系统非线性传递函数矩阵的计算公式。
Then, by using the camera calibration parameters, 3D coordinates of each feature point in the machine coordinate system were calculated.
由摄像机标定参数，进一步计算出各特征点在机器坐标系中的三维坐标；
And then, by using the stress strength interference theory to calculate fracture probability is converted to resolve a one dimensional integral.
当用应力—强度干涉理论计算断裂概率，问题归结为一维积分式的求解。
And then, by using the upper and lower vertices' position of neutral layer, the anti-bend rate was determined by curve fitting method.
再利用中性层上下顶点处的位置，用曲线拟合的方法确定出了板材在矫直过程中的反弯曲率；
Then, by using the flamelet model, numerical simulations of Flame D were performed and the modeling accuracy and depth of flamelet model are investigated.
然后，采用火焰面模型对该湍流扩散火焰进行了数值模拟并和实验数据进行了比较，考察了火焰面模型的精确程度和模拟深度。
Then, by using beam element and MPC184 element, the finite element model for strength analysis was setup and simplified.
然后利用梁单元和MPC184单元，建立了供强度计算的有限元模型并进行了简化。
The boundary of the tracking error is guaranteed. Then, by using the technique of input-output linearization, the stable adaptive control method for general nonlinear systems is proposed.
然后利用输入输出线性化方法，给出广义非线性系统的自适应控制方法；
The boundary of the tracking error is guaranteed. Then, by using the technique of input-output linearization, the stable adaptive control method for general nonlinear systems is proposed.
然后利用输入输出线性化方法，给出广义非线性系统的自适应控制方法；
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