%0 Journal Article
%T Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
%A Yunbo Zeng
%A Wen-Xiu Ma
%A Yijun Shao
%J Physics
%D 2001
%I arXiv
%R 10.1063/1.1357826
%X Two binary (integral type) Darboux transformations for the KdV hierarchy with self-consistent sources are proposed. In contrast with the Darboux transformation for the KdV hierarchy, one of the two binary Darboux transformations provides non auto-B\"{a}cklund transformation between two n-th KdV equations with self-consistent sources with different degrees. The formula for the m-times repeated binary Darboux transformations are presented. This enables us to construct the N-soliton solution for the KdV hierarchy with self-consistent sources.
%U http://arxiv.org/abs/nlin/0102003v1