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Stability of line solitons for the KP-II equation

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Mizunachi, Tetsu

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Stability of line solitons for the KP-II equation
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15
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21
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CC Attribution 3.0 Unported:
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Abstract
The KP-II equation was derived by Kadmotsev and Petviashvili to explain stability of line solitary waves of shallow water. In this talk, I will show stability of $1$-line solitons for perturbations in the class $(1+x^2)^{-1/2-0}H^1(\mathbb{R}_{x,y}^2)$