中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10206-010206.doi: 10.1088/1674-1056/20/1/010206
杨云青1, 陈勇2
Yang Yun-Qing(杨云青)a) and Chen Yong(陈勇)a)b)†
摘要: The prolongation structure methodologies of Wahlquist--Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based on the obtained prolongation structure, a Lie algebra with five parameters is constructed. Under certain conditions, a Lie algebra representation and three kinds of Lax pairs for the variable- coefficient KdV equation are derived.
中图分类号: (Integrable systems)