A set of multi-component matrix Lie algebra is constructed, it follows that a type of new loop algebra is presented and multi-component integrable hierarchy is obtained. Furthermore, the loop algebra is expanded into a larger one and a type of integrable coupling system is worked out. As reduction of the hierarchy, some well-known hierarchy such as DNLS, KN, CLL hierarchy are established. (C) 2007 Elsevier Ltd. All rights reserved.
机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South AfricaZhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China