Restricted flows and the soliton equation with self-consistent sources

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Runliang Lin, Haishen Yao, Yunbo Zeng
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146047
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Restricted flows and the soliton equation with self-consistent sources / Runliang Lin, Haishen Yao, Yunbo Zeng // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 19 назв. — англ.

The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted flows (by V.B. Kuznetsov et al.), we constructed two types of Darboux transf...