1.Department of Applied Mathematics, China Agricultural University, Beijing 100083, China
;2.Department of Mathematics, Tsinghua University, Beijing 100084, China
Abstract:
Integrable Rosochatius deformations of finite-dimensional integrable systems are generalized to the soliton hierarchy with self-consistent sources. The integrable Rosochatius deformations of the Kaup-Newell hierarchy with self-consistent sources, of the TD hierarchy with self-consistent sources, and of the Jaulent-Miodek hierarchy with self-consistent sources, together with their Lax representations are presented.