AKNS孤子族对应系统的哈密尔顿双可积耦合  

Hamiltonian Bi-integrable Couplings for the Counterpart of the AKNS Soliton Hierarchy

作　　者：王蕾[1] 唐亚宁[2] WANG Lei;TANG Yaning(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619,China;School of Mathematics and Statistics,Northwestern Polytechnical University,Xi’an 710129,China)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619 [2]西北工业大学数学与统计学院,陕西西安710129

出　　处：《应用数学》2022年第4期827-834,共8页Mathematica Applicata

基　　金：Supported in part by the National Natural Science Foundation of China(11401424);the Natural Science Foundation of Shanxi province(201901D211423);the Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi(2019L0783);the Teaching Reform project of Taiyuan Normal University(JGLX2128)。

摘　　要：基于半直和李代数的零曲率方程,应用一族非半单矩阵李代数构建的块矩阵构建了AKNS孤子族对应系统的双可积耦合及其哈密尔顿结构.Based on zero curvature equations from semi-direct sums of Lie algebras,we construct bi-integrable couplings for the counterpart of the AKNS soliton hierarchy and their Hamiltonian structures by applying a class of non-semisimple matrix loop algebras consisting of triangular block matrices.

关 键 词：半直和李代数 零曲率方程 双可积耦合 哈密尔顿结构 

分 类 号：O175[理学—数学]