An Ablowitz-Ladik Integrable Lattice Hierarchy with Multiple Potentials

作者：Ma, Wen-Xiu^*

来源：Acta Mathematica Scientia, 2020, 40(3): 670-678.

DOI：10.1007/s10473-020-0306-3

• Integrable lattice
• discrete spectral problem
• symmetry and conserved functional

Within the zero curvature formulation, a hierarchy of integrable lattice equations is constructed from an arbitrary-order matrix discrete spectral problem of Ablowitz-Ladik type. The existence of infinitely many symmetries and conserved functionals is a consequence of the Lax operator algebra and the trace identity. When the involved two potential vectors are scalar, all the resulting integrable lattice equations are reduced to the standard Ablowitz-Ladik hierarchy.

• 单位
  西北大学; 浙江师范大学