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WIGNER FUNCTION APPROACH TO OSCILLATING SOLUTIONS OF THE 1D-QUINTIC NONLINEAR SCHRÖDINGER EQUATION

ALEX MAHALOV

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287-1804, USA

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and

SERGEI K. SUSLOV

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287-1804, USA

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https://doi.org/10.1142/S0218863513500136Cited by:3 (Source: Crossref)

Abstract

In this paper, we study oscillating solutions of the 1D-quintic nonlinear Schrödinger equation with the help of Wigner's quasiprobability distribution in quantum phase space. An "absolute squeezing property", namely a periodic in time total localization of wave packets at some finite spatial points without violation of the Heisenberg uncertainty principle, is analyzed in this nonlinear model.

Keywords:

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