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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… Click to show full 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 $i=1,2$.
Keywords:
system;
space;
sobolev space;
inverse scattering;
space bijectivity
Journal Title: Nonlinearity
Year Published: 2019
Link to full text (if available)
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Journal Title: Nonlinearity
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!