| 电报方程的守恒量 |
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| 引用本文： | 秦茂昌,梅凤翔.电报方程的守恒量[J].北京理工大学学报,2005,25(2):95-97. |
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| 作者姓名： | 秦茂昌 梅凤翔 |
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| 作者单位： | 北京理工大学理学院,北京,100081 |
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| 摘 要： | 尝试直接从微分方程出发寻找系统守恒量.将微分方程线性化,求得线性化方程的伴随方程.伴随方程的解若同时满足伴随不变条件就可以由之构造出系统的守恒量.该方法不需要系统的Lagrange函数,以电报方程为例加以说明.
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| 关 键 词： | 电报方程 守恒量 伴随方程 电报方程 守恒量 函数 Lagrange 方法 构造 变条件 方程的解 伴随方程 线性化方程 系统 微分方程 |
| 文章编号： | 1001-0645(2005)02-0095-03 |
| 收稿时间： | 2004/4/24 0:00:00 |
| 修稿时间： | 2004年4月24日 |
Conserved Quantities of Telegraph Equation |
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| QIN Mao-chang and MEI Feng-xiang.Conserved Quantities of Telegraph Equation[J].Journal of Beijing Institute of Technology(Natural Science Edition),2005,25(2):95-97. |
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| Authors: | QIN Mao-chang and MEI Feng-xiang |
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| Institution: | School of Science, Beijing Institute of Technology, Beijing100081, China;School of Science, Beijing Institute of Technology, Beijing100081, China |
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| Abstract: | Attempt was made at constructing conserved quantity derived from differential equations of a system. The differential equations were linearized and their adjoint equations were found. Conserved quantity of the system can be constructed through the adjoint equations' solutions which satisfy adjoint invariance condition. Lagrangian function of the system was not necessary in this method. Telegraph equation was taken as an example to illustrate the application of this skill. |
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| Keywords: | telegraph equation conserved quantity adjoint equation |
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