Levandosky, JulieVera, Octavio2023-05-192023-05-192023-02-04Levandosky, J. L., & Vera, O. (2023). Smoothing properties for a coupled Zakharov-Kuznetsov system. <i>Electronic Journal of Differential Equations, 2023</i>(11), pp. 1-41.1072-6691https://hdl.handle.net/10877/16846In this article we study the smoothness properties of solutions to a two-dimensional coupled Zakharov-Kuznetsov system. We show that the equations dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data (u0,v0) possesses certain regularity and sufficient decay as x → ∞, then the solution (u(t),v(t)) will be smoother than (u0, v0) for 0 < t ≤ T where T is the existence time of the solution.Text41 pages1 file (.pdf)enAttribution 4.0 InternationalCoupled Zakharov-Kuznetsov systemGain in regularityWeighted Sobolev spaceArticle