文献类型：期刊文献

英文题名：New non-isospectral integrable couplings of the AKNS system

作者：Sun, Ye-Peng[1,3];Zhao, Hong-Qing[2,3]

机构：[1]Shandong Econ Univ, Sch Math & Stat, Jinan 250014, Peoples R China;[2]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[3]Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100080, Peoples R China

年份：2008

卷号：203

期号：1

起止页码：163

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20083611514319);WOS:【SCI-EXPANDED(收录号:WOS:000258832700021)】；

基金：The authors would like to express their thanks to the referees for their valuable advice. The first author is very grateful to Professor Xing-Biao Hu and Professor Deng-Yuan Chen for their ardent guidance and help. This work was supported by China Postdoctoral Science Foundation and the National Natural Science Foundation of China (Grant No. 10771207).

语种：英文

外文关键词：semi-direct sums of lie algebras; the AKNS system; lax pair; non-isospectral integrable couplings

摘要：By means of semi-direct sums of Lie algebras and the compatibility condition of Lax pair, an efficient way to construct non-isospectral integrable couplings is proposed. As its applications, new non-isospectral integrable couplings of the AKNS system are obtained. The method can be devoted to constructing non-isospectral integrable couplings of other nonlinear evolution equations. (c) 2008 Elsevier Inc. All rights reserved.