61 citations · 108 across the 22 of their papers we have counts for
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math.AP2014
Unconditional uniqueness for the modified Korteweg-de Vries equation on the line
Luc Molinet, Didier Pilod, Stéphane Vento
We prove that the modified Korteweg- de Vries equation (mKdV) equation is unconditionally well-posed in for . Our method of proof combines the improve…
math.AP2014★ 61 cited
Asymptotic Stability of high-dimensional Zakharov-Kuznetsov solitons
Raphaël Côte, Claudio Muñoz, Didier Pilod +1
We prove that solitons (or solitary waves) of the Zakharov-Kuznetsov (ZK) equation, a physically relevant high dimensional generalization of the Korteweg-de Vries (KdV) equation ap…