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20202024
most citedAsymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation

10 citations · 20 across the 6 of their papers we have counts for

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math.AP2020★ 3 cited

Asymptotic K-soliton-like Solutions of the Zakharov-Kuznetsov type equations

Frédéric Valet

We study here the Zakharov-Kuznetsov equation in dimension and and the modified Zakharov-Kuznetsov equation in dimension . Those equations admit solitons, characterized…

math.AP2020

Polynomial Growth of high Sobolev Norms of solutions to the Zakharov-Kuznetsov Equation

Raphaël Cote, Frédéric Valet

We consider the Zakharov-Kuznetsov equation (ZK) in space dimension 2. Solutions u with initial data u\_0 H s are known to be global if s 1. We prove that for any integ…