Wave Motion, cilt.117, 2023 (SCI-Expanded)
© 2022 Elsevier B.V.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 (2+1)-dimensional extensions of the multi-component AKNS systems.