Journal of the Physical Society of Japan

The Wigner Transform of Soliton Solutions for the Nonlinear Schrödinger Equation

Hidetoshi Konno, Peter S. Lomdahl

Published Nov 15, 1994• 11 citations

Abstract

The Wigner function, a kind of wavelet transform is studied for one- and two-soliton solutions to the nonlinear Schrödinger equation. The exact expression of the Wigner transform for the one-soliton solution is obtained. The features of soliton-soliton interaction of different two-soliton states, the states of coherence analogous to that of two-localized wave packets in quantum mechanics, are displayed. Suitability of this transform for analyzing “ soliton ” in open systems is also discussed.

DOI: 10.1143/jpsj.63.3967

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