摘要：In this paper, we develop and analyze a discontinuous Galerkin (DG) method for the two-dimensional nonlinear Zakharov-Kuznetsov (ZK) equation. The DG method could be applied without introducing any auxiliary variables or rewriting the original equation into a larger system. Stability and an error estimate are discussed carefully. Finally, a numerical example for the nonlinear problem is given to show that the scheme attains the optimal ( k + 1 ) $(k+1)$ th order of accuracy for piecewise Q k $Q^{k}$ polynomials of degree k when k ≥ 2 $k\geq2$ .
