Small enough initial data in H^3 with finite weighted L^2 norm globalize, and the linear profile converges in H^2, giving nonlinear scattering for the 2D modified Zakharov-Kuznetsov equation.
Chiron, Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for nonlinear Schrödinger type equations, Ann
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Scattering of the 2D modified Zakharov-Kuznetsov equation
Small enough initial data in H^3 with finite weighted L^2 norm globalize, and the linear profile converges in H^2, giving nonlinear scattering for the 2D modified Zakharov-Kuznetsov equation.