(2+1)-维DLW族及其可积耦合和多分量可积系  

(2+1)-dimensional DLW Hierarchy and Its Integrable Couplings as well as the Multi-component Integrable Hierarchy

作　　者：李柱 LI Zhu(School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, China)

机构地区：[1]信阳师范学院数学与统计学院,河南信阳464000

出　　处：《泰山学院学报》2017年第6期32-38,共7页Journal of Taishan University

基　　金：河南省高等学校重点科研项目(17A110029);信阳师范学院"南湖学者"奖励计划青年项目

摘　　要：本文首先利用(2+1)维零曲率方程和屠格式得到(2+1)-维DLW(Dispersion Long Wave)族,然后由圈代数A_2的子代数得到了其可积耦合系统,最后利用多分量的圈代数C_M得到了其多分量的可积系统.Under the frame of the(2+1)-dimensional zero curvature equation and Tu model,(2+1)-dimensional DLW hierarchy is obtained.Again by use of a subalgebra of the loop algebra2the integrable coupling system of the above hierarchy is presented.Finally,with the help of the multi-component loop algebra M,the corresponding multi-component integrable system is produced.

关 键 词：(2+1)-维零曲率方程 可积耦合 圈代数 

分 类 号：O175.29[理学—数学]