By using symbolic computation software(Maple), a generalized Dirac soliton hierarchy is derived from a new matrix spectral problem associated with the Lie algebra   sl(2,R)     sl   (  2  ,  R  )        . A bi-Hamiltonian structure yielding Liouville integrability is furnished by the trace identity.
['Yujian Ye', 'Zhihui Li', 'Chunxia Li', 'Shoufeng Shen', 'Wen-Xiu Ma']
A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure