Stabilization of regular solutions for the Zakharov-Kuznetsov equation   posed on bounded rectangles and on a strip
  Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and critical sizes of domains are studied. Exponential decay of regular solutions for the original nonlinear problems is proved. 
G. G. Doronin, N. A. Larkin
math.AP