Scattering of the 3D Zakharov-Kuznetsov equation

We consider the Zakharov-Kuznetsov equation in space dimension 3: $$\{\begin{array}{l}{\mathrm{\partial }}_{t}u+{\mathrm{\partial }}_x\mathrm{\Delta }u+{\mathrm{\partial }}_x\frac{u^2}{2}=0\\ u(t=0)=u_0\end{array}$$ where $u:(t,x,y)\in \mathbb{R}\times \mathbb{R}\times {\mathbb{R}}^2\mapsto u(t,x,y)\in \mathbb{R}$, and $\mathrm{\Delta }={\mathrm{\partial }}_x^2+{\mathrm{\Delta }}_y$ is the full Laplacian. We show that, for any $u_0$ satisfying $$\mathrm{\parallel }(1+x^2+\mathrm{\mid }y{\mathrm{\mid }}^2)u_0{\mathrm{\parallel }}_{H^1}\ll 1$$ then the global solution exhibits scattering in $H^1$. This is done using the method of space-time resonances, and more precisely the partial symmetries approach [GPW23] in order to treat the anisotropy. We introduce well suited anisotropic weighted norms, prove dispersive decay estimates adapted to these norms and an a priori estimate allowing to close by a bootstrap argument.