Averaging for split-step scheme

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1359-1366
Number of pages8
JournalNonlinearity
Volume16
Issue number4
DOIs
StatePublished - Jul 2003
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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