摘要
How to construct new super integrable equation hierarchy is an important problem.In this paper,a new Lax pair is proposed and the super D-Kaup-Newell hierarchy is generated,then a nonlinear integrable coupling of the super D-Kaup-Newcll hierarchy is constructed.The super Hamiltonian structures of coupling equation hierarchy is derived with the aid of the super variational identity.Finally,the self-consistent sources of super integrable coupling hierarchy is established.It is indicated that this method is a straightforward and efficient way to construct the super integrable equation hierarchy.
基金
The authors thank Yan Zhang for helpful advices during the writing of this paper.This work was supported in part by the National Natural Science Foundation of China(Grant Nos.11547175,11975145)
the Aid Project for the Mainstay Young Teachers in Henan Provincial Institutions of Higher Education of China(2017GGJS145).
