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- W2888403739 abstract "In this paper, we construct center stable manifolds of unstable line solitary waves for the Zakharov--Kuznetsov equation on $mathbb{R}times mathbb{T}_L$ and show the orbital stability of the unstable line solitary waves on the center stable manifolds, which yields the asymptotic stability of unstable solitary waves on the center stable manifolds near by stable line solitary waves. The construction is based on the graph transform approach by Nakanishi and Schlag. Applying the bilinear estimate on Fourier restriction spaces by Molinet and Pilod and modifying the mobile distance by Nakanishi and Schlag, we construct a contraction map on the graph space." @default.
- W2888403739 created "2018-08-31" @default.
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- W2888403739 date "2018-08-22" @default.
- W2888403739 modified "2023-09-25" @default.
- W2888403739 title "Center stable manifolds around line solitary waves of the Zakharov--Kuznetsov equation" @default.
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- W2888403739 doi "https://doi.org/10.48550/arxiv.1808.07315" @default.
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