Numerical simulation of the semi-classical limit of the focusing nonlinear Schrödinger equation

Jared C. Bronski, J. Nathan Kutz

Research output: Contribution to journalArticlepeer-review

Abstract

We present a series of careful numerical experiments on the semi-classical limit of the focusing nonlinear Schrödinger equation. We observe the emergence of an ordered train of solitons, which was originally predicted by one of the authors based on a numerical and analytical study of the Zakharov-Shabat eigenvalue problem. The velocity and amplitude of the solitons in the train are in extremely good agreement with the predictions of the previous work. We also observe a difference in behavior between analytic and non-analytic initial data which suggests that, at least for certain initial data, the elliptic modulation equations are correct.

Original languageEnglish (US)
Pages (from-to)325-336
Number of pages12
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume254
Issue number6
DOIs
StatePublished - Apr 26 1999

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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