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20232025
most citedAsymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation

10 citations · 17 across the 4 of their papers we have counts for

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math.AP2024

On the fractional Schödinger equation with variable coefficients

C. E. Kenig, D. Pilod, G. Ponce +1

We study the initial value problem (IVP) associated to the semi-linear fractional Schödinger equation with variable coefficients. We deduce several properties of the anisotropic fr…

math.AP2024★ 7 cited

Dynamics of the collision of two nearly equal solitary waves for the Zakharov-Kuznetsov equation

Didier Pilod, Frédéric Valet

We study the dynamics of the collision of two solitary waves for the Zakharov-Kuznetsov equation in dimension and . We describe the evolution of the solution behaving as a s…