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Dirac方程族所对应的完全可积的Hamilton系统
引用本文:吴秀文.Dirac方程族所对应的完全可积的Hamilton系统[J].辽宁大学学报(自然科学版),1996(1).
作者姓名:吴秀文
作者单位:天津宝坻电大
摘    要: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.

关 键 词:Dirac族  有限维对合系  完全可积.

Completely Integrable Hamiltonion System Associated with the Dirac Hierarchy
Wu Xiuwen.Completely Integrable Hamiltonion System Associated with the Dirac Hierarchy[J].Journal of Liaoning University(Natural Sciences Edition),1996(1).
Authors:Wu Xiuwen
Abstract: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.
Keywords:Dirac hierachy  Finite-dimensional involutive system  Completely intgrable    
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