中文摘要：

寻找尽可能多的可积孤子方程族是孤子理论研究中的一项重要、有趣的课题。屠格式是建立可积族哈密顿结构简单、有效的方法。基于so（3,R）对已有Dirac方程族的谱问题进行推广,提出了一个新的谱问题。再利用屠格式得到了新的Dirac可积方程族及其哈密顿结构。

英文摘要：

Searching for a new soliton hierarchy is a very important and interesting subject in soliton theory.Tu-model is a simple and effective method to construct integrable soliton hierarchy with Hamilton structure.A new matrix spectral problem is presented,based on the three-dimensional real special orthogonal Lie algebra so（3,R）.A generalized Dirac soliton hierarchy is generated by Tu-model and its soliton hierarchy possesses Hamilton structure.