Averaging for split-step scheme
نویسندگان
چکیده
The split-step Fourier method for solving numerically nonlinear Schrödinger equations (NLS) is considered as NLS with rapidly varying coefficients. This connection is exploited to justify the split-step approximation using an averaging technique. The averaging is done up to the second order and it is explained why (in this context) symmetric split-step produces a higher order scheme. The same approach is applied to dispersion managed NLS to show that anti-symmetric dispersion maps lead to higher order validity of the corresponding averaged equation. Mathematics Subject Classification: 78A60, 65M12
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