Dirac方程族所对应的完全可积的Hamilton系统

Completely Integrable Hamiltonion System Associated with the Dirac Hierarchy

本文先将Ｄｉｒａｃ方程族的Ｌａｘ组非线性化为一有限维对合系，然后讨论它的可积性，最后给出Ｄｉｒａｃ方程族的解的对合表示．

In this paper, the Lax pair for the Dirac hierarchy is nonlinearized as a set of finite-dimensional involutive system, and its integrability is also discussed. Finally, we present the involutive solutions of Dirac hierachy of soliton equations.