Multi-component AKNS systems
Exactly Solvable and Integrable Systems
2023-01-12 v2
Abstract
We study two members of the multi-component AKNS hierarchy. These are multi-NLS and multi-MKdV systems. We derive the Hirota bilinear forms of these equations and obtain soliton solutions. We find all possible local and nonlocal reductions of these systems of equations and give a prescription to obtain their soliton solutions. We derive also -dimensional extensions of the multi-component AKNS systems.
Keywords
Cite
@article{arxiv.2208.01086,
title = {Multi-component AKNS systems},
author = {Metin Gürses and Aslı Pekcan},
journal= {arXiv preprint arXiv:2208.01086},
year = {2023}
}
Comments
22 pages