A New Integrable Couplings of Li Soliton Hierarchy with Self-consistent Sources

摘要

A new kind of integrable couplings of soliton hierarchies with self-consistent sources associated with sl(4) was presented. Based upon this method, a new integrable couplings of Li soliton hierarchy with self-consistent sources was obtained by making use of loop algebra sl(4). Meanwhile, the Hamiltonian structure of the integrable couplings of Li soliton hierarchy was obtained by making use of variational identity. The method in this study can be applied to other soliton hierarchies with self-consistent sources.