TY - JOUR
T1 - Wigner function approach to oscillating solutions of the quintic nonlinear schrödinger equation
AU - Mahalov, Alex
AU - Suslov, Sergei
N1 - Funding Information:
The authors are grateful to Robert Conte for valuable discussions. We thank Kamal Barley and Oleksandr Pavlyk for assistance with graphics enhancement. This research was partially supported by an AFOSR grant FA9550-11-1-0220.
PY - 2013/6
Y1 - 2013/6
N2 - 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.
AB - 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.
KW - Heisenberg uncertainty relation
KW - One-dimensional quintic nonlinear Schrödinger equation
KW - Tonks-Girardeau gas of impenetrable bosons
KW - Traveling wave and blow up solutions
KW - Wigner function
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U2 - 10.1142/S0218863513500136
DO - 10.1142/S0218863513500136
M3 - Article
AN - SCOPUS:84880276340
SN - 0218-8635
VL - 22
JO - Journal of Nonlinear Optical Physics and Materials
JF - Journal of Nonlinear Optical Physics and Materials
IS - 2
M1 - 1350013
ER -