Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
Yunbo ZengDepartment of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of ChinaWen-Xiu MaDepartment of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, People’s Republic of ChinaYijun ShaoDepartment of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
2001en
ABI
Annotatsiya
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-Bäcklund transformation between two nth 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.
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