曲阜师范大学学报（自然科学版）2025，Vol.51Issue(3)：52-58,7.DOI:10.3969/j.issn.1001-5337.2025.3.052
一类时标可积耦合系统及其双哈密顿结构
One kind of integrable coupled system and its bi-Hamiltonian structures on time scale
摘要
Abstract
In this paper,by constructing Lax operator and using R-matrix on time scale,AKNS integra-ble coupled system based on time scale is established,and its bi-Hamiltonian structure is obtained success-fully by constructing Poisson tensor with recursive estimator.The classical AKNS integrable coupled sys-tem and its Hamiltonian structure are obtained by selecting a special time scale.关键词
R-矩阵/AKNS方程/时标/双哈密顿结构Key words
R-matrix/AKNS equation/time-space scale/bi-Hamiltonian structure分类
数学引用本文复制引用
程如梦,董焕河..一类时标可积耦合系统及其双哈密顿结构[J].曲阜师范大学学报（自然科学版）,2025,51(3):52-58,7.基金项目
国家自然科学基金(11975143). （11975143）
