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- W2065964547 abstract "We consider the KP-I and gKP-I equations in $mathbb{R}times (mathbb{R}/2pi mathbb{Z})$. We prove that the KdV soliton with subcritical speed $0<c<c^*$ is orbitally stable under the global KP-I flow constructed by Ionescu and Kenig cite{IK}. For supercritical speeds $c>c^*$, in the spirit of the work by Duyckaerts and Merle cite{DM}, we sharpen our previous instability result and construct a global solution which is different from the solitary wave and its translates and which converges to the solitary wave as time goes to infinity. This last result also holds for the gKP-I equation." @default.
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- W2065964547 date "2012-05-17" @default.
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- W2065964547 title "Stability and Instability of the KDV Solitary Wave Under the KP-I Flow" @default.
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- W2065964547 doi "https://doi.org/10.1007/s00220-012-1495-y" @default.
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