A Coupled AKNS-Kaup-Newell Soliton Hierarchy
solv-int
2015-06-26 v1 Exactly Solvable and Integrable Systems
Abstract
A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is proposed in terms of hereditary symmetry operators resulted from Hamiltonian pairs. Zero curvature representations and tri-Hamiltonian structures are established for all coupled AKNS-Kaup-Newell systems in the hierarchy. Therefore all systems have infinitely many commuting symmetries and conservation laws. Two reductions of the systems lead to the AKNS hierarchy and the Kaup-Newell hierarchy, and thus those two soliton hierarchies also possess tri-Hamiltonian structures.
Keywords
Cite
@article{arxiv.solv-int/9908005,
title = {A Coupled AKNS-Kaup-Newell Soliton Hierarchy},
author = {Wen-Xiu Ma and Ruguang Zhou},
journal= {arXiv preprint arXiv:solv-int/9908005},
year = {2015}
}
Comments
15 pages, latex