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- W4384701624 abstract "In this paper, we study the Cauchy problem for the vector nonlinear Schrödinger equations with cubic nonlinearities. The vector nonlinear Schrödinger equations are also called as Manakov systems. In particular, our main purpose of this study is to consider the asymptotic behavior of global solutions and our main results of this study show the existence of asymptotically free solutions for space dimensions n=2,3 in the intersection of Sobolev space and weighted Lebesgue space Hs∩FHγ with s,γ∈(0,1]∩(n/2−1,n/2) and existence of modified asymptotically free solutions for space dimension n=1 in the weighted Lebesgue space FHγ with 1/2<γ≤1." @default.
- W4384701624 created "2023-07-20" @default.
- W4384701624 creator A5010299795 @default.
- W4384701624 date "2024-01-01" @default.
- W4384701624 modified "2023-10-16" @default.
- W4384701624 title "Asymptotic behavior for solutions to the vector nonlinear Schrödinger equations" @default.
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- W4384701624 doi "https://doi.org/10.1016/j.jmaa.2023.127604" @default.
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