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
Scholar Commons Citation
Shen, Shoufeng; Li, Chunxia; Jin, Yongyang; and Ma, Wen-Xiu, "Completion of the Ablowitz-Kaup-Newell-Segur Integrable Coupling" (2018). Mathematics and Statistics Faculty Publications. 151.
https://digitalcommons.usf.edu/mth_facpub/151
