排序方式: 共有69条查询结果,搜索用时 31 毫秒
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该文对一类对称三次Hamilton系统在非光滑对称摄动下产生的极限环数目进行研究.通过多参数摄动理论和定性分析方法,得到这类在非光滑摄动下的三次系统可以存在至少19个极限环. 相似文献
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利用变分法证明平面调和函数的外问题的确切形式;在此基础上,建立外问题的具有间接变量的等价边界积分方程;传统的外问题及边界积分方程不具有普遍适用性,本文对此进行了详细的讨论. 相似文献
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Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order
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In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear equations are established successfully. Also we make a comparison between the two methods. It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems, and more general solutions are constructed by the Riccati sub-ODE method. 相似文献
4.
Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order
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In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear equations are established successfully. Also we make a comparison between the two methods. It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems, and more general solutions are constructed by the Riccati sub-ODE method. 相似文献
5.
双反射镜式光电经纬仪测角误差的分析(轴系部分) 总被引:1,自引:1,他引:0
双反射镜式光电经纬仪由于采用了反射镜跟踪头,轴系误差对测角精度的影响不同于典型光电经纬仪。本文从建立经纬仪三维直角坐标系入手,建立了该类型经纬仪轴系误差引起测角误差的数学模型,为精度分析和误差修正提供了依据。 相似文献
6.
在Mie散射理论基础上,由单分散射的光强表达式导出在偏振光的入射条件下一定立体角内的散射光通量的表达式,并与自然光入射作比较。计算了在相同强度不同光源入射下,尘埃粒子计数器的两种常用散射光收集系统收集的散射光通量。结果表明:采用近前向散射光收集系统得到的光通量相等;而采用直角方向散射光收集系统时两者并不相等,且在平面偏振光入射时,收集的散射光通量还跟探测器中心与入射光偏振方向夹角有关。用MATLAB编程计算,得出了在探测器中心与偏振方向的夹角成90°或270°位置时,收集的散射光通量有极值的结论,为激光尘埃计数器传感器光学设计提供了依据。 相似文献
7.
平面Poisson外边值问题 总被引:2,自引:0,他引:2
证明平面调和函数的Dirichlet外问题解存在唯一的充要条件;在此基础上,建立Laplace和Poisson外问题的等价边界积分方程;通过实例对传统的边界积分方程进行了讨论,表明它们不具有普遍适用性。 相似文献
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The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq–Burgers equation
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This paper studies the coupled Burgers equation and the high-order Boussinesq–Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink (soliton) solutions and multiple-singular-kink (soliton) solutions are derived for the two equations. 相似文献
10.
将弹性力学平面问题归化成无奇异边界积分方程,避免了传统的边界元法中的柯西主值(CPV)积分和Hadamard-Finite-Parts(HFP)积分的计算,建立完整的数值求解体系。 相似文献