Lie symmetry analysis and reduction of a new integrable coupled KdV system
Qian Su-Ping(钱素平)a)b)† and Tian Li-Xin(田立新)b)
a Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China; b Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Abstract In this paper, Lie symmetry is investigated for a new integrable coupled Korteweg--de Vries (KdV) equation system. Using some symmetry subalgebra of the equation system, we obtain five types of the significant similarity reductions. Abundant solutions of the coupled KdV equation system, such as the solitary wave solution, exponential solution, rational solution and polynomial solution, etc. are obtained from the reduced equations. Especially, one type of group-invariant solution of reduced equations can be acquired by means of the Painlevé I transcendent function.
Received: 31 May 2006
Revised: 26 June 2006
Accepted manuscript online:
Fund: Project supported by the
National Natural Science Foundation of China (Grant No
10071033), the Natural Science Foundation of Jiangsu Province,
China (Grant No BK2002003), and the Technology Innovation Plan
for
Postgraduate of Jiangsu Province in 2006 (Grant No 72).
Cite this article:
Qian Su-Ping(钱素平) and Tian Li-Xin(田立新) Lie symmetry analysis and reduction of a new integrable coupled KdV system 2007 Chinese Physics 16 303
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.
