A novel kind of AKNS integrable couplings and their Hamiltonian structures

Authors

YU-JUAN ZHANG
WEN-XIU MA
ÖMER ÜNSAL

DOI

10.3906/mat-1511-123

Abstract

We present a novel hierarchy of AKNS integrable couplings based on a specific semidirect sum of Lie algebras associated with sl$(2)$. By applying the variational identity, we derive a bi-Hamiltonian structure of the resulting coupling systems, thereby showing their Liouville integrability.

Keywords

Integrable couplings, semidirect sum, Hamiltonian structure

First Page

1467

Last Page

1476

Recommended Citation

ZHANG, YU-JUAN; MA, WEN-XIU; and ÜNSAL, ÖMER (2017) "A novel kind of AKNS integrable couplings and their Hamiltonian structures," Turkish Journal of Mathematics: Vol. 41: No. 6, Article 9. https://doi.org/10.3906/mat-1511-123
Available at: https://journals.tubitak.gov.tr/math/vol41/iss6/9