Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources

Abstract EN

Based on a well-known Lie algebra, the multicomponent Guo hierarchy with self-consistent sources is proposed.

With the help of a set of non-semisimple Lie algebra, the nonlinear bi-integrable couplings of the multicomponent Guo hierarchy with self-consistent sources are obtained.

It enriches the content of the integrable couplings of hierarchies with self-consistent sources.

Finally, the Hamiltonian structures are worked out by employing the variational identity.