Title

Completion of the Ablowitz-Kaup-Newell-Segur Integrable Coupling

Document Type

Article

Publication Date

2018

Digital Object Identifier (DOI)

https://doi.org/10.1063/1.4990534

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.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Journal of Mathematical Physics, v. 59, issue 10, art. 103503

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