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arXiv · 1706.04308

Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling

Shoufeng Shen·Chunxia Li·Yongyang Jin·Wen-Xiu Ma
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Abstract

Integrable couplings are associated with non-semisimple Lie algebras. In this paper, we propose a new method to generate new integrable systems through making perturbation in matrix spectral problems for integrable couplings, which is called the `completion process of integrable couplings'. As an example, the idea of construction is applied to the Ablowitz-Kaup-Newell-Segur integrable coupling. Each equation in the resulting hierarchy has a bi-Hamiltonian structure furnished by the component-trace identity.

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Shoufeng Shen, Chunxia Li, Yongyang Jin, Wen-Xiu Ma. 2017-06-14. Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling. https://doi.org/10.1063/1.4990534

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