NLS-MKdV hierarchy and its Hamiltonian structures

作者：Zhang Ning^*; Dong Huan He

来源：International Journal of Theoretical Physics, 2008, 47(5): 1221-1229.

DOI：10.1007/s10773-007-9555-3

• Hamiltonian structure
• integrable couplings
• quadratic-form identity

A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, NLS-MKdV hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that an integrable coupling of NLS-MkdV hierarchy is given. Also, the trace identity is extended to the quadratic-form identity and the Hamiltonian structures of the NLS-MKdV hierarchy and integrable coupling of NLS-MkdV hierarchy are obtained by the quadratic-form identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.

• 出版日期2008-5
• 单位山东科技大学