The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system

摘要

A new simple loop algebra G(M) is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component classical-Boussinesq hierarchy is obtained. Furthermore, an expanding loop algebra F-M of the loop algebra G(M) is presented. Based on F-M, the multi-component integrable coupling system of the multi-component classical-Boussinesq hierarchy is worked out. The method can be applied to other nonlinear evolution equations hierarchy. (C) 2004 Elsevier Ltd. All rights reserved.