Zimian问题实质上是叙拉古算子方程 xi = S xi(xi >1)的解的存在性问题,Erd?s给出长度 m i =1 i = 1= 8的一组解.本文不仅给出了叙拉古算子方程有解的一个必要条件,指出了方程不存在长度 m = 1的解,还给出了方程在长度 m = 18, m...Zimian问题实质上是叙拉古算子方程 xi = S xi(xi >1)的解的存在性问题,Erd?s给出长度 m i =1 i = 1= 8的一组解.本文不仅给出了叙拉古算子方程有解的一个必要条件,指出了方程不存在长度 m = 1的解,还给出了方程在长度 m = 18, m = 13, = 10, = 8 和 m = 5 的若干组解.展开更多
Based on the resulting Lax pairs of the generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for the generalized coupled KdV soliton equation is derived with the help of a gauge...Based on the resulting Lax pairs of the generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for the generalized coupled KdV soliton equation is derived with the help of a gauge transformation of the spectral problem. By using Darboux transformation, the generalized odd-soliton solutions of the generalized coupled KdV soliton equation are given and presented in determinant form. As an application, the first two cases are given.展开更多
文摘Zimian问题实质上是叙拉古算子方程 xi = S xi(xi >1)的解的存在性问题,Erd?s给出长度 m i =1 i = 1= 8的一组解.本文不仅给出了叙拉古算子方程有解的一个必要条件,指出了方程不存在长度 m = 1的解,还给出了方程在长度 m = 18, m = 13, = 10, = 8 和 m = 5 的若干组解.
基金the Science Fundation for Young Teachers of Southwest University(No.SWUQ2006028)
文摘Based on the resulting Lax pairs of the generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for the generalized coupled KdV soliton equation is derived with the help of a gauge transformation of the spectral problem. By using Darboux transformation, the generalized odd-soliton solutions of the generalized coupled KdV soliton equation are given and presented in determinant form. As an application, the first two cases are given.
