Lagrange--Noether method for solving second-order differential equations
Wu Hui-Bin(吴惠彬)a)† and Wu Run-Heng(吴润衡)b)
a Faculty of Science, Beijing Institute of Technology, Beijing 100081, China; b Faculty of Science, North China University of Technology, Beijing 100041, China
Abstract The purpose of this paper is to provide a new method called the Lagrange--Noether method for solving second-order differential equations. The method is, firstly, to write the second-order differential equations completely or partially in the form of Lagrange equations, and secondly, to obtain the integrals of the equations by using the Noether theory of the Lagrange system. An example is given to illustrate the application of the result.
Received: 01 July 2008
Revised: 18 October 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10272021 and
10572021), the Doctoral Program Foundation of Institution of Higher
Education of China (Grant No 20040007022), and the Fund for
Fundamental Research of BIT (Grant No 20070742005).
Cite this article:
Wu Hui-Bin(吴惠彬) and Wu Run-Heng(吴润衡) Lagrange--Noether method for solving second-order differential equations 2009 Chin. Phys. B 18 3647
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
