Lie symmetry analysis and reduction of a new integrable coupled KdV system

• 来源期刊: 中国物理（英文版）
• 关键词: the coupled KdV equations symmetry reduction group-invariant solutions
• 年，卷（期）: 2007,（2）
• 页码范围: 303-309
• 页数: 7页
• 语种: 英文

摘要

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 Painlev?I transcendent function.