Conservation laws for a super G–J hierarchy with self-consistent sources

Conservation laws for a super G–J hierarchy with self-consistent sources
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DOI:
10.1016/j.cnsns.2011.06.007
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发表时间:
2012-02
影响因子:
3.9
通讯作者:
Hui Wang;T. Xia
Hui Wang;T. Xia
中科院分区:
数学2区
文献类型:
--
作者:
Hui Wang;T. Xia

文献摘要

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基于一个著名的超级李代数,给出了一个超级可积系统。然后,得到了具有自洽源的超G-J层次。进一步,我们建立了可积超G-J层次的无穷多守恒律。我们所导出的方法可以推广到其他具有自洽源的非线性方程组。
Based on a well known super Lie algebra, a super integrable system is presented. Then, the super G–J hierarchy with self-consistent sources are obtained. Furthermore, we establish the infinitely many conservation laws for the integrable super G–J hierarchy. The methods derived by us can be generalized to other nonlinear equations hierarchies with self-consistent sources.