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.

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