摘要
一个超级 Jaulent-Miodek 层次和它的超级 Hamiltonian 结构借助于一种谎言超级代数学和超级踪迹身份被构造。而且,超级 Jaulent-Miodek 层次的前後一致的来源基于前後一致的来源的理论被介绍。而且,超级 Jaulent-Miodek 层次的无限的能量守恒定律也被获得。因为甚至变量是波色子变量,奇怪的变量是费密变量在,是值得注意的光谱问题,整流器与平常的不同。
A super Jaulent-Miodek hierarchy and its super Hamiltonian structures are constructed by means of a kind of Lie super algebras and super trace identity. Moreover, the self-consistent sources of the super Jaulent-Miodek hierarchy is presented based on the theory of self-consistent sources. Further- more, the infinite conservation laws of the super Jaulent-Miodek hierarchy are also obtained. It is worth noting that as even variables are boson variables, odd variables are fermi variables in the spectral problem, the commutator is different from the ordinary one.
基金
Acknowledgements This work was supported in part by the National Natural Science Foundation of China (Grant No. 11271008).