Multi-component AKNS systems
Date
2022-12-31
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Source Title
Wave Motion
Print ISSN
0165-2125
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Publisher
Elsevier
Volume
117
Issue
Pages
103104-[1] - 103104-13
Language
English
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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.