A family of Liouville integrable lattice equations and its conservation laws

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摘要

A new discrete spectral problem of matrix three-by-three with three potentials is introduced and by using the discrete trace identity a hierarchy of Liouville lattice equations is obtained. The infinite number of conservation laws of the hierarchy of Hamiltonian system are presented.

论文关键词:Integrable lattice equations,Discrete trace identity,Conservation law

论文评审过程:Available online 30 June 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.06.045