Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations. (English) Zbl 1082.65570

Summary: We use the split-step finite difference method to solve various nonlinear Schrödinger equations including coupled ones. We study the numerical accuracy of the method. Detailed numerical results including higher dimensions show that the method provides accurate and stable solutions for nonlinear Schrödinger equations.


65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35Q55 NLS equations (nonlinear Schrödinger equations)
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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