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- W1965657404 abstract "We show that the width of the wave packet of a class of generalized nonlinear Schrodinger equations (NLSE) trapped in an arbitrary time-dependent harmonic well in any dimensions is universally determined by the same Hill's equation. This class of generalized NLSE is characterized by a dynamical O(2,1) symmetry in absence of the trap. As an application, we study the dynamical instabilities of the rotating as well as nonrotating Bose-Einstein condensates in one and two dimensions. We also show exact extended parametric resonance in a nonrelativistic Chern-Simons theory producing a gauged NLSE." @default.
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- W1965657404 date "2001-12-10" @default.
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- W1965657404 title "Conformal symmetry and the nonlinear Schrödinger equation" @default.
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- W1965657404 doi "https://doi.org/10.1103/physreva.65.012103" @default.
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