Smoothing properties for a coupled Zakharov-Kuznetsov system

In this article we study the smoothness properties of solutions to a two-dimensional coupled Zakharov-Kuznetsov system. We show that equations dispersive nature leads gain in regularity for solution. particular, if initial data (u0,v0) possesses certain and sufficient decay as x → ∞, then solution (u(t),v(t)) will be smoother than (u0, v0) 0 < t ≤ T where is existence time