A hierarchy of Liouville integrable lattice equations and its integrable coupling systems

作者：Tang Lei yu^*; Fan Han cong; Li Xue hua

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(4): 1742-1751.

DOI：10.1016/j.cnsns.2010.08.001

• Discrete zero curvature representation
• Trace identity
• Discrete integrable coupling systems
• Variational identity
• Hamiltonian structure
• Liouville integrable

A new discrete two-by-two matrix spectral problem with two potentials is introduced followed by a hierarchy of integrable lattice equations obtained through discrete zero curvature equations It is shown that the Hamiltonian structures of the resulting integrable lattice equations are established by virtue of the trace identity Furthermore based on a discrete four-by-four matrix spectral problem the discrete integrable coupling systems of the resulting hierarchy are obtained Then with the variational identity the Hamilto

• 出版日期2011-4
• 单位山东科技大学