Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources

Details Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources

2008-06-13

arxiv.org/abs/0806.2251v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages. to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/1751-8113/41/29/295205

We propose a systematic method to generalize the integrable Rosochatius deformations for finite dimensional integrable Hamiltonian systems to integrable Rosochatius deformations for infinite dimensional integrable equations. Infinite number of the integrable Rosochatius deformed higher-order constrained flows of some soliton hierarchies, which includes the generalized integrable H$\acute{e}$non-Heiles system, and the integrable Rosochatius deformations of the KdV hierarchy with self-consistent sources, of the AKNS hierarchy with self-consistent sources and of the mKdV hierarchy with self-consistent sources as well as their Lax representations are presented.

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