共查询到16条相似文献,搜索用时 109 毫秒
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
研究了一类输电线非线性振动的动力学模.利用同伦映射方法,得到了该模型的任意次精度的近似解.
关键词:
输电线
非线性振动
同伦映射
近似解 相似文献
11.
JiaQi Mo 《中国科学G辑(英文版)》2009,52(7):1007-1010
The model for gain fluency of a laser pulse amplifier is studied. Using the homotopic mapping method, firstly, the system
of the original model is packed up standardization; secondly, introducing a homotopic mapping, taking the property of the
mapping, inducing a contrived parameter, the solving of a nonlinear problem translates into the solving of a linear problem.
Then the approximate expressions of the solution for the corresponding model are obtained. And the precision for the approximate
solution is compared. It illuminates that the obtained approximate solution using the homotopic mapping method possesses higher
approximate degree. At one time, the expansion of solution through the homotopic mapping method can be kept in the analytic
operation. Thus it also enables us through differential and integral operations to obtain other physics behavior for the gain
fluency of laser pulse amplifier. 相似文献
12.
利用同伦映射方法研究了一类广义Sine-Gordon方程. 首先引入一个同伦变换. 然后构造了原方程解的迭代关系式. 最后得到了问题的解析解.
关键词:
孤子
扰动
同伦映射 相似文献
13.
The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation
下载免费PDF全文
![点击此处可从《中国物理 B》网站下载免费的PDF全文](/ch/ext_images/free.gif)
This paper studies a generalized nonlinear evolution equation. Using
the homotopic mapping method, it constructs a corresponding homotopic
mapping transform. Selecting a suitable initial approximation and
using homotopic mapping, it obtains an approximate solution with an
arbitrary degree of accuracy for the solitary wave. From the
approximate solution obtained by using the homotopic mapping method, it
possesses a good accuracy. 相似文献
14.
15.