Integrable couplings of a generalized AKNS hierarchy
来源期刊：中南大学学报(英文版)2002年第3期
论文作者：张玉峰 张鸿庆 闫庆友
文章页码：220 - 223
Key words：integrable coupling; AKNS hierarchy; spectral problem
Abstract: Ageneralized AKNS isospectral problemwhere the trace of corresponding spectral matrix is not zero, is transformed to a new isospectral problem where the trace of the resulting matrix is zero, by using transformation of Lax pairs, and these two spectral problems lead to the same hierarchy of equations. The authors started from the transformed spectral problem and constructed a new loop algebra which has not appeared before, and obtained the integrable coupling of the generalized AKNS hierarchy. Specially, the integrable couplings of the KdV equation and MKdV equation are obtained.
