On the unique continuation property of solutions of the three-dimensional Zakharov-Kuznetsov equation

We prove that if the difference of two sufficiently smooth solutions of the three-dimensional Zakharov-Kuznetsovequation ∂tu+∂x△u+u∂xu=0,(x,y,z)∈R3,t∈[0,1],decays as e−a(x2+y2+z2)3∕4 at two different times, for some a>0 large enough, then both solutions coincide.