Nonlinear Schrödinger equation with a Dirac delta potential: finite difference method*

Bin Cheng(程彬),Ya-Ming Chen(陈亚铭),Chuan-Fu Xu(徐传福),Da-Li Li(李大力),Xiao-Gang Deng(邓小刚)

Figure 3. Numerical solution of equation (1) with g = 1 and λ = −0.7 at time t = 1. Here, N1 = N2 = 200. (a) Solution of the real part p; (b) solution of the imaginary part q.