2018•Mathematical Methods in the Applied SciencesRequires access

General non‐isospectral integrable coupling of AKNS equations associated with

Jing Yu, Wenbo Yuan, Jingwei Han

Abstract

By means of the real Lie algebra and compatible condition of spectral problems, a general non‐isospectral AKNS equations is constructed. Furthermore, by enlarging spectral problems, the corresponding non‐isospectral integrable coupling of AKNS equations associated with is also obtained in this paper.

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Key concepts: Isospectral, Integrable system, Mathematics, Coupling (piping), Pure mathematics, Lie algebra, Algebra over a field, Mathematical analysis