Gürses, MetinPekcan, A.2024-03-122024-03-122022-12-310165-2125https://hdl.handle.net/11693/114542We 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.EnglishMulti-component AKNS systemsLocal and nonlocal reductionsHirota methodNegative hierarchyArticle10.1016/j.wavemoti.2022.103104