An Ablowitz-Ladik Integrable Lattice Hierarchy with Multiple Potentials

被引：0
|
作者：
Wen-Xiu Ma
机构：
[1] South China University of Technology,School of Mathematics
[2] King Abdulaziz University,Department of Mathematics
[3] University of South Florida,Department of Mathematics and Statistics
[4] Zhejiang Normal University,Department of Mathematics
[5] Shandong University of Science and Technology,College of Mathematics and Systems Science
[6] North-West University,Department of Mathematical Sciences
[7] Mafikeng Campus,undefined
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
Integrable lattice; discrete spectral problem; symmetry and conserved functional; 35Q51; 35Q58; 37K10; 37K40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：670 / 678
页数：8
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