WIGNER FUNCTION APPROACH TO OSCILLATING SOLUTIONS OF THE 1D-QUINTIC NONLINEAR SCHRÖDINGER EQUATION
2013 ◽
Vol 22
(02)
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pp. 1350013
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Keyword(s):
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.
2012 ◽
Vol 53
(10)
◽
pp. 103704
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2012 ◽
Vol 82
(7)
◽
pp. 1150-1171
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2008 ◽
Vol 2008
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pp. 1-14
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2015 ◽
Vol 17
(7)
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pp. 1687-1759
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2011 ◽
Vol 63
(1)
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pp. 141-148
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2018 ◽
Vol 29
(3)
◽
pp. 393-402
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2011 ◽
Vol 217
(12)
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pp. 5967-5971
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2012 ◽
Vol 285
(19)
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pp. 3988-3994
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On instability for the quintic nonlinear Schrodinger equation of some approximate periodic solutions
2012 ◽
Vol 61
(6)
◽
pp. 2053-2083