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

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Cited by in corpus (6)

• The bi-Hamiltonian structure and new solutions of KdV6 equation
• The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems
• Soliton Equations with Self-Consistent Sources
• Camassa-Holm and M-CIV equations with self-consistent sources: geometry and peakon solutions
• The nonlinear Schrödinger equation with forcing involving products of eigenfunctions
• On the (Non)-Integrability of KdV Hierarchy with Self-consistent Sources