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矩阵KdV约束流的r矩阵
引用本文:徐英,梁凤鸣.矩阵KdV约束流的r矩阵[J].泰山学院学报,2012(3):35-39.
作者姓名:徐英  梁凤鸣
作者单位:1. 淮南师范学院数学与计算科学系,安徽淮南,232001
2. 泰山学院学报编辑部,山东泰安,271021
摘    要:得到了一个4×4矩阵型的Lax算子的r矩阵,由此利用r矩阵理论证明了矩阵KdV约束流在Liouville意义下是完全可积的.

关 键 词:Lax算子  r矩阵  非线性化  矩阵KdV方程

r- Matrix for the Restricted Matrix KdV Flows
XU Ying,LIANG Feng-ming.r- Matrix for the Restricted Matrix KdV Flows[J].Journal of Taishan University,2012(3):35-39.
Authors:XU Ying  LIANG Feng-ming
Institution:XU Ying , LIANG Feng- ming( Department of Mathematics and Computational Science, Huainan Normal University, Huainan, 232001; 2. Journal Editorial Department, Taishan Univelsity, Tai'an, 271021, China)
Abstract:A r - matrix relation of a matrix Lax operator is presented. Then the complete integrabilities in the Liouville sense of the restricted matrix KdV flows are established in the framework of r - matrix.
Keywords:Lax operator  r - matrix  nonlinearization  matrix KdV equation
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