The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions

We devise a new simple loop algebra G(M) and an isospectral problem. By making use of the Tu scheme, the multicomponent generalized Kaup-Newell hierarchy is obtained. Furthermore, an expanding loop algebra F-M of the loop algebra G(M) is presented. Based on F-M, the multicomponent integrable couplings system with two arbitrary functions of the multicomponent generalized Kaup-Newell hierarchy are worked out. The method can be applied to other nonlinear evolution equations hierarchy. (C) 2005 American Institute of Physics.