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 language||English (US)|
|Number of pages||12|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - Apr 26 1999|
ASJC Scopus subject areas
- Physics and Astronomy(all)