The trace identity is extended to the quadratic-form identity. The Hamiltonian structures of the multi-component Guo hierarchy, integrable coupling of Guo hierarchy and （2＋l）-dimensional Guo hierarchy are obtained ...The trace identity is extended to the quadratic-form identity. The Hamiltonian structures of the multi-component Guo hierarchy, integrable coupling of Guo hierarchy and （2＋l）-dimensional Guo hierarchy are obtained by the quadraticform identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.展开更多
Based on a general isospectral problem of fractional order and the fractional quadratic-form identity by Yue and Xia, the new integrable coupling of fractional coupled Burgers hierarchy and its fractional bi-Hamiltoni...Based on a general isospectral problem of fractional order and the fractional quadratic-form identity by Yue and Xia, the new integrable coupling of fractional coupled Burgers hierarchy and its fractional bi-Hamiltonian structures are obtained.展开更多
This paper obtains the multi-component Harry-Dym （HI）） hierarchy and its integrable couplings by using two kinds of vector loop algebras G^-3 and G^-6. The Hamiltonian structures of the above system are given by th...This paper obtains the multi-component Harry-Dym （HI）） hierarchy and its integrable couplings by using two kinds of vector loop algebras G^-3 and G^-6. The Hamiltonian structures of the above system are given by the quadraticform identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.展开更多
In this paper,we obtain integrable couplings of the TB hierarchy using the new subalgebra of the loop algebra A.Then the Hamiltonian structure of the above system is given by the quadratic-form identity.
文摘The trace identity is extended to the quadratic-form identity. The Hamiltonian structures of the multi-component Guo hierarchy, integrable coupling of Guo hierarchy and （2＋l）-dimensional Guo hierarchy are obtained by the quadraticform identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.
基金in part supported by the Natural Science Foundation of China(GrantNo.11271008)the First-class Discipline of University in Shanghai and the Shanghai Univ.Leading Academic Discipline Project(A.13-0101-12-004)
文摘Based on a general isospectral problem of fractional order and the fractional quadratic-form identity by Yue and Xia, the new integrable coupling of fractional coupled Burgers hierarchy and its fractional bi-Hamiltonian structures are obtained.
文摘This paper obtains the multi-component Harry-Dym （HI）） hierarchy and its integrable couplings by using two kinds of vector loop algebras G^-3 and G^-6. The Hamiltonian structures of the above system are given by the quadraticform identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.
文摘In this paper,we obtain integrable couplings of the TB hierarchy using the new subalgebra of the loop algebra A.Then the Hamiltonian structure of the above system is given by the quadratic-form identity.
