The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions

摘要

A new simple loop algebra e m is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component TD hierarchy is obtained. Furthermore, an expanding loop algebra (F) over tilde (M) of the loop algebra (G) over tildeM is presented. Based on (F) over tildeM, the multi-component integrable couplings system with five arbitrary functions of the multi-component TD hierarchy is worked out. The method can be applied to other nonlinear evolution equations hierarchies. (c) 2005 Elsevier Ltd. All rights reserved.