Component-trace identity for Hamiltonian structure of the integrable couplings of the Giachetti-Johnson (GJ) hierarchy and coupling integrable couplings

摘要

The integrable couplings of the Giachetti-Johnson (GJ) hierarchy are obtained by the perturbation approach and its Hamiltonian structure is given for the first time by component-trace identities. Then, coupling integrable couplings of the GJ hierarchy are worked out.