Stability and instability of the KdV solitary wave under the KP-I flow

Abstract : We consider the KP-I and gKP-I equations in $\mathbb{R}\times (\mathbb{R}/2\pi \mathbb{Z})$. We prove that the KdV soliton with subcritical speed $0
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https://hal.archives-ouvertes.fr/hal-00707829
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Submitted on : Wednesday, June 13, 2012 - 3:42:53 PM
Last modification on : Friday, November 16, 2018 - 1:31:17 AM

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Frédéric Rousset, Nikolay Tzvetkov. Stability and instability of the KdV solitary wave under the KP-I flow. Communications in Mathematical Physics, Springer Verlag, 2012, 313 (1), pp.155-173. ⟨10.1007/s00220-012-1495-y⟩. ⟨hal-00707829⟩

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