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.
作者
马文秀
Wen-Xiu MA(School of Mathematics,South China University of Technology,Guangzhou 510640,China;Department of Mathematics,King Abdulaziz University,Jeddah,Saudi Arabia;Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620,USA;Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China;Department of Mathematical Sciences,North-West University,Mafikeng Campus,Mmabatho 2735,South Africa)
基金
The work was supported in part by NSF(DMS-1664561)
NSFC(11975145 and 11972291)
the Natural Science Foundation for Colleges and Universities in Jiangsu Province(17KJB110020)
Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT(2017XKZD11).
