The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions

摘要

A new simple loop algebra (G) over tilde (M) is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component WKI hierarchy is obtained. Furthermore, an expanding loop algebra (F) over tilde (M) of the loop algebra (G) over tilde (M) is presented. Based on (F) over tilde (M), the multi-component integrable couplings system with two arbitrary functions of the multi-component WKI hierarchy is worked out. How to design the isospectral problem of the multi-component hierarchy of equations is a technique and interesting topic. The method can be applied to other nonlinear evolution equations hierarchy. (C) 2004 Elsevier Ltd. All rights reserved.