Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies

摘要

A kind of N x N non-semisimple Lie algebra consisting of triangular block matrices is used to generate multi-component integrable couplings of soliton hierarchies from zero curvature equations. Two illustrative examples are made for the continuous Ablowitz-Kaup-Newell-Segur hierarchy and the semi-discrete Volterra hierarchy, together with recursion operators. Copyright (C) 2014 JohnWiley & Sons, Ltd.