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

Abstract

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.

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

References in corpus (2)

• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Kinky Strings in AdS_5 x S^5

Cited by in corpus (1)

• The bi-Hamiltonian structure and new solutions of KdV6 equation