摘要Starting from a spectral problem, a corresponding soliton hierarchy is proposed, and we construct an integrable coupling system with five dependent variables for the hierarchy by using a class of semi-direct sums of Lie algebras. Moreover, it is shown that the coupling system possesses quasi-Hamiltionian structures, and that infinitely many conserved quantities are obtained.
Abstract：Starting from a spectral problem, a corresponding soliton hierarchy is proposed, and we construct an integrable coupling system with five dependent variables for the hierarchy by using a class of semi-direct sums of Lie algebras. Moreover, it is shown that the coupling system possesses quasi-Hamiltionian structures, and that infinitely many conserved quantities are obtained.
LUO Lin;FAN En-Gui. Quasi-Hamiltonian Structure Associated with an Integrable Coupling System[J]. 中国物理快报, 2009, 26(5): 50203-050203.
LUO Lin, FAN En-Gui. Quasi-Hamiltonian Structure Associated with an Integrable Coupling System. Chin. Phys. Lett., 2009, 26(5): 50203-050203.
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