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AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY

张玉峰闫庆友

2002微分方程年刊:英文版Physics and Astronomy被引 3

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摘要

A direct method for establishing integrable couplings is proposed in this paper by constructing a new loop algebra G. As an illustration by example, an integrable coupling of the generalized AKNS hierarchy is given. Furthermore, as a reduction of the generalized AKNS hierarchy, an integrable coupling of the well-known G J hierarchy is presented. Again a simple example for the integrable coupling of the MKdV equation is also given. This method can be used generally.

引用本文(GB/T 7714)

张玉峰, 闫庆友. AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY[J]. 微分方程年刊:英文版, 2002.

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