Multi-symplectic variational integrators for nonlinear Schrödinger equations with variable coefficients
Liao Cui-Cui1, †, , Cui Jin-Chao1, Liang Jiu-Zhen2, Ding Xiao-Hua3
       

Numerical waveform of GPE by integrator (19) with Δt= 0.01 and Δx= 2π/64.