标题:Notes on "A integrable lattice hierarchy based on Suris system: N-fold Darboux transformation and conservation laws" [Nonlinear. Dyn. (2018) 91:625-639]
作者:Lu, Rong-Wu; Xu, Xi-Xiang
作者机构:[Lu, Rong-Wu; Xu, Xi-Xiang] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.
通讯作者:Xu, XX
通讯作者地址:[Xu, XX]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.
来源:NONLINEAR DYNAMICS
DOI:10.1007/s11071-019-05298-7
关键词:Integrable lattice hierarchy; Suris system; Hamiltonian structure;; Bi-Hamiltonian structure; Liouville integrability
摘要:We point out that the Hamiltonian structure of the integrable lattice hierarchy in "A integrable lattice hierarchy based on Suris system: N-fold Darboux transformation and conservation laws" [Nonlinear. Dyn. (2018) 91:625-639] is not correct. Then, we establish a correct Hamiltonian structure by the trace identity. Further, we also prove that the integrable lattice hierarchy has bi-Hamiltonian structure. Thus, the Liouville integrability of the integrable lattice hierarchy is obtained.
收录类别:SCIE
资源类型:期刊论文
TOP