A FAMILY OF NEW INTEGRABLE COUPLINGS WITH FOUR POTENTIAL FUNCTIONS OF C-KdV HIERARCHY

摘要：

Searching for new integrable couplings of the known integrable hierarchies of evolution equations is a quite new interesting aspect and is of great significance in solution theory.In this paper, a new loop algebra G and its basis are first presented.Second a new isospectral problem with four potentials in the loop algebra G is considered to construct integrable couplings of the the well-known C-KdV hierarchy by the zero-curvature equation.In particular, we obtain a special integrable couplings equations of the C-KdV equation.

关键词： C-KdV hierarchy integrable coupling loop algebra

作者: GE JIANYA

作者单位: Jinhua Polytechnic,Jinhua 321007,Zhejiang Province,P.R.China

会议类型: 国际会议

会议名称: 3rd International Conference on Mechanical and Electrical Technology(ICMET2011) (2011第三届机械与电气技术国际会议)

会议地点: 大连

会议语种:英文

页码: 159-163

在线出版日期: 2011-08-26（万方平台首次上网日期，不代表论文的发表时间）