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

Tiecheng Xia, Fajun Yu and Dengyuan Chen

Chaos, Solitons & Fractals, 2005, vol. 24, issue 3, 877-883

Abstract: 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 WKI 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 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:3:p:877-883

DOI: 10.1016/j.chaos.2004.09.121

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