In this paper, we first introduce a Lie algebra of the special orthogonal group, g = so(4, C), whose elements are 4 × 4trace-free, skew-symmetric complex matrices. As its application, we obtain a new soliton hier...In this paper, we first introduce a Lie algebra of the special orthogonal group, g = so(4, C), whose elements are 4 × 4trace-free, skew-symmetric complex matrices. As its application, we obtain a new soliton hierarchy which is reduced to AKNS hierarchy and present its bi-Hamiltonian structure and Liouville integrability. Furthermore, for one of the equations in the resulting hierarchy, we construct a Darboux matrix T depending on the spectral parameter λ.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.61170183 and 11271007)SDUST Research Fund,China(Grant No.2014TDJH102)+2 种基金the Fund from the Joint Innovative Center for Safe and Effective Mining Technology and Equipment of Coal Resources,Shandong Provincethe Promotive Research Fund for Young and Middle-aged Scientisits of Shandong Province,China(Grant No.BS2013DX012)the Postdoctoral Fund of China(Grant No.2014M551934)
文摘In this paper, we first introduce a Lie algebra of the special orthogonal group, g = so(4, C), whose elements are 4 × 4trace-free, skew-symmetric complex matrices. As its application, we obtain a new soliton hierarchy which is reduced to AKNS hierarchy and present its bi-Hamiltonian structure and Liouville integrability. Furthermore, for one of the equations in the resulting hierarchy, we construct a Darboux matrix T depending on the spectral parameter λ.
