摘要:Nonlinear integrable couplings of super Broer-Kaup-Kupershmidt hierarchy based upon an
enlarged matrix Lie super algebra were constructed. Then its super Hamiltonian structures
were established by using super trace identity, and the conserved functionals were proved to be
in involution in pairs under the defined Poisson bracket. As its reduction, nonlinear integrable
couplings of the classical integrable hierarchy were obtained.