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arXiv · 1807.05690

$L^2$-Sobolev space bijectivity of the inverse scattering of a $3 \times 3$ AKNS system

Jiaqi Liu
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Abstract

We study the $L^2$-Sobolev space bijectivity of the direct and inverse scattering of the $3\times 3$ AKNS system associated to the Manakov system and Sasa-Satsuma equation. We establish the bijectivity on the weighted Sobolev space $H^{i,1}(\mathbb{R})$ for $i=1,2$.

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Jiaqi Liu. 2018-07-16. $L^2$-Sobolev space bijectivity of the inverse scattering of a $3 \times 3$ AKNS system. https://doi.org/10.1088/1361-6544/aaf527

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