Completion of the integrable coupling systems

Yuqin Yao; Chunxia Li; Shenfeng Shen

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arXiv · 1711.04073

Completion of the integrable coupling systems

Yuqin Yao·Chunxia Li·Shenfeng Shen

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Abstract

In this paper, we proposed an procedure to construct the completion of the integrable system by adding a perturbation to the generalized matrix problem, which can be used to continuous integrable couplings, discrete integrable couplings and super integrable couplings. As example, we construct the completion of the Kaup-Newell (KN) integrable coupling, the Wadati-Konno-Ichikawa (WKI) integrable couplingsis, vector Ablowitz-Kaup-Newell-Segur (vAKNS) integrable couplings, the Volterra integrable couplings, Dirac type integrable couplings and NLS-mKdV type integrable couplings.

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Yuqin Yao, Chunxia Li, Shenfeng Shen. 2017-11-11. Completion of the integrable coupling systems. https://arxiv.org/abs/1711.04073

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