We present a new discrete integrable coupling system by using the matrix Lax pair U, V C s/（4）. A novel spectral problem of modified Toda lattice soliton hierarchy is considered. Then, a new discrete integrable coup...We present a new discrete integrable coupling system by using the matrix Lax pair U, V C s/（4）. A novel spectral problem of modified Toda lattice soliton hierarchy is considered. Then, a new discrete integrable coupling equation hierarchy is obtained through the method of the enlarged Lax pair. Finally, we obtain the Hamiltonian structure of the integrable coupling system of the soliton equation hierarchy using the matrix-form trace identity. This discrete integrable coupling system includes a kind of a modified Toda lattice hierarchy.展开更多
基金supported by the Natural Science Foundation of Liaoning Province Grant No.2013020056
文摘We present a new discrete integrable coupling system by using the matrix Lax pair U, V C s/（4）. A novel spectral problem of modified Toda lattice soliton hierarchy is considered. Then, a new discrete integrable coupling equation hierarchy is obtained through the method of the enlarged Lax pair. Finally, we obtain the Hamiltonian structure of the integrable coupling system of the soliton equation hierarchy using the matrix-form trace identity. This discrete integrable coupling system includes a kind of a modified Toda lattice hierarchy.
