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arXiv · 2208.01086

Multi-component AKNS systems

Metin Gürses·Aslı Pekcan
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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 $(2+1)$-dimensional extensions of the multi-component AKNS systems.

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Metin Gürses, Aslı Pekcan. 2023-01-11. Multi-component AKNS systems. https://doi.org/10.1016/j.wavemoti.2022.103104

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