Browsing by Subject "Negative hierarchy"

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    Multi-component AKNS systems
    (Elsevier, 2022-12-31) Gürses, Metin; Pekcan, A.
    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.