Nonlinear Schr(o)dinger equation with a Dirac delta potential: finite difference method
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摘要:
The nonlinear Schr(o)dinger equation with a Dirac delta potential is considered in this paper.It is noted that the equation can be transformed into an equation with a drift-admitting jump.Then following the procedure proposed in Chen and Deng (2018 Phys.Rev.E 98 033302),a new second-order finite difference scheme is developed,which is justified by numerical examples.