A 2-parameter hierarchy of integrable lattice equations

作者：Xu Xi Xiang^*; Cao Wei Li

来源：Modern Physics Letters B, 2008, 22(14): 1389-1400.

DOI：10.1142/S0217984908016066

• integrable lattice equation
• Lax pair
• relativistic Toda lattice
• Liouville integrable

A new discrete matrix spectral problem with two arbitrary constants is introduced, and the corresponding 2-parameter hierarchy of integrable lattice equations is obtained by discrete zero curvature representation. The resulting integrable lattice equations reduce to the hierarchy of relativistic Toda lattice in rational form for a special choice of the parameters. Moreover, a sub-hierarchy of the resulting integrable lattice equations is discussed. It is shown that each lattice equation in the sub-hierarchy is a Liouville integrable discrete Hamiltonian equation.

• 出版日期2008-6-10
• 单位山东大学