Abstract:

This paper focuses on multi-symplectic Fourier pseudospectral approximations to the nonlinear Schrödinger equation with initial and periodic boundary conditions. Stability and optimal convergence order of the semi-discretization scheme are obtained. Optimal error estimate for the fully discrete scheme is also given. Numerical experiments are presented.

Key words: Fourier pseudospectral method;multi-symplectic;nonlinear Schrödinger equation;optimal error estimate