期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 54, 期 5, 页码 -出版社
AIP Publishing
DOI: 10.1063/1.4803455
关键词
-
资金
- Department of Science and Technology, Government of India
- UGC
- Ramanna Fellowship project
- DAE Raja Ramanna Fellowship
In this paper we carry out a complete classification of the Lie point symmetry groups associated with the quadratic Lienard type equation, (x)overdot + f(x)(x)overdot(2) + g(x) = 0, where f(x) and g(x) are arbitrary functions of x. The symmetry analysis gets divided into two cases, (i) the maximal (eight parameter) symmetry group and (ii) non-maximal (three, two, and one parameter) symmetry groups. We identify the most general form of the quadratic Lienard equation in each of these cases. In the case of eight parameter symmetry group, the identified general equation becomes linearizable as well as isochronic. We present specific examples of physical interest. For the non-maximal cases, the identified equations are all integrable and include several physically interesting examples such as the Mathews-Lakshmanan oscillator, particle on a rotating parabolic well, etc. We also analyse the underlying equivalence transformations. (C) 2013 AIP Publishing LLC.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据