Small weighted initial data for the 3D Zakharov-Kuznetsov equation produce global solutions that scatter in H^1.
Segata, Existence of wave operators for Zakharov - Kuznetsov equation in two space dimensions, Discrete Contin
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Scattering of the 3D Zakharov-Kuznetsov equation
Small weighted initial data for the 3D Zakharov-Kuznetsov equation produce global solutions that scatter in H^1.