A New m × m Matrix Kaup-Newell Spectral Problem and Its Associated Integrable Decomposition  

作　　者：张建兵 季杰 刘玉清 姚玉芹 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai, 200444 [2]School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, 221116 [3]Department of Information Science, Jiangsu Polytechnic University, Ghangzhou, 213016

出　　处：《Northeastern Mathematical Journal》2007年第2期141-150,共10页东北数学（英文版）

基　　金：Foundation item:NNSF(10671121,10471120)of China.

摘　　要：A new m × m matrix Kaup-Newell spectral problem is constructed from a normal 2 × 2 matrix Kaup-Newell spectral problem, a new integrable decomposition of the Kaup-Newell equation is presented. Through this process, we find the structure of the r-matrix is interesting.A new m × m matrix Kaup-Newell spectral problem is constructed from a normal 2 × 2 matrix Kaup-Newell spectral problem, a new integrable decomposition of the Kaup-Newell equation is presented. Through this process, we find the structure of the r-matrix is interesting.

关 键 词：spectral problem Kaup-Newell equation hierarchy integrable decomposition 

分 类 号：O241.81[理学—计算数学]