Explicit multi-symplectic method for the Zakharov–Kuznetsov equation

We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov--Kuznetsov equation. The method is is to combine the multi-symplectic Fourier pseudospectral method for spatial discretization and the Euler method for temporal discretization. It is verified that the proposed method has corresponding discrete multi-symplectic conservation laws. Numerical simulations indicate that the proposed scheme is characterized by excellent conservation.