Articles with "gross pitaevskii" as a keyword



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Existence and blow‐up behavior of standing waves for the Gross–Pitaevskii functional with a higher order interaction

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Published in 2020 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.6434

Abstract: We study the constraint minimization problem related to the Gross-Pitaevskii functional with a higher order interaction I a := inf { E a(φ) : φ ∈ H(R2), ‖φ‖L2 = 1 } , where δ >… read more here.

Keywords: order interaction; higher order; functional higher; gross pitaevskii ... See more keywords
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Invariant Manifolds of Traveling Waves of the 3D Gross–Pitaevskii Equation in the Energy Space

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Published in 2017 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-018-3189-6

Abstract: We study the local dynamics near general unstable traveling waves of the 3D Gross–Pitaevskii equation in the energy space by constructing smooth local invariant center-stable, center-unstable and center manifolds. We also prove that (i) the… read more here.

Keywords: pitaevskii equation; waves gross; traveling waves; center ... See more keywords
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Search for an Analytical Solution in the Three-Dimensional Gross–Pitaevskii Equation

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Published in 2017 at "Computational Mathematics and Modeling"

DOI: 10.1007/s10598-017-9359-0

Abstract: The Gross–Pitaevskii equation is at the core of the mathematical problem of the propagation of a Bose–Einstein condensate (BEC). In this article, we look for an analytical soliton solution in the three-dimensional Gross–Pitaevskii equation. We… read more here.

Keywords: pitaevskii equation; solution; solution three; analytical solution ... See more keywords
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Bose–Einstein condensation under the cubic–quintic Gross–Pitaevskii equation in radial domains

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Published in 2018 at "Annals of Physics"

DOI: 10.1016/j.aop.2017.11.009

Abstract: Abstract We study stationary and quasi-stationary solutions for the cubic–quintic Gross–Pitaevskii equation modeling Bose–Einstein condensates (BECs) in one, two, and three spatial dimensions under the assumption of radial symmetry with the BEC dynamics influenced by… read more here.

Keywords: pitaevskii equation; cubic quintic; quintic gross; gross pitaevskii ... See more keywords
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Periodic, complexiton solutions and stability for a (2+1)-dimensional variable-coefficient Gross-Pitaevskii equation in the Bose-Einstein condensation

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Published in 2018 at "Physica B: Condensed Matter"

DOI: 10.1016/j.physb.2018.03.042

Abstract: Abstract This paper presents an investigation of a (2 + 1)-dimensional variable-coefficient Gross-Pitaevskii equation in the Bose-Einstein condensation. Periodic and complexiton solutions are obtained. Solitons solutions are also gotten through the periodic solutions. Numerical solutions via the… read more here.

Keywords: pitaevskii equation; coefficient gross; equation bose; dimensional variable ... See more keywords
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Effective self-similar expansion for the Gross-Pitaevskii equation

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Published in 2018 at "Physical Review A"

DOI: 10.1103/physreva.97.043604

Abstract: We consider an effective scaling approach for the free expansion of a one-dimensional quantum wave packet, consisting in a self-similar evolution to be satisfied on average, i.e. by integrating over the coordinates. A direct comparison… read more here.

Keywords: pitaevskii equation; self similar; gross pitaevskii; expansion ... See more keywords
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Generalized Gross-Pitaevskii model for intersubband polariton lasing

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Published in 2019 at "Physical Review B"

DOI: 10.1103/physrevb.100.035305

Abstract: We develop a generalized Gross-Pitaevskii approach to the driven-dissipative dynamics of intersubband polaritons in patterned planar microcavities where the cavity mode is strongly coupled to an intersubband transition in doped quantum wells. Substantial differences with… read more here.

Keywords: pitaevskii model; intersubband polariton; generalized gross; model intersubband ... See more keywords
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Rogue waves of the dissipative Gross–Pitaevskii equation with distributed coefficients

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Published in 2020 at "European Physical Journal Plus"

DOI: 10.1140/epjp/s13360-020-00651-x

Abstract: By introducing a suitable ansatz and employing the similarity transformation technique, we construct the first- and second-order rational solutions for a quasi-one-dimensional (1D) dissipative Gross–Pitaevskii (GP) equation with a time-varying cubic nonlinearity and an external… read more here.

Keywords: pitaevskii equation; rogue waves; rogue; dissipative gross ... See more keywords
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Soliton Solutions and Collisions for the Multicomponent Gross–Pitaevskii Equation in Spinor Bose–Einstein Condensates

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Published in 2020 at "Mathematical Problems in Engineering"

DOI: 10.1155/2020/4632434

Abstract: In this paper, we investigate a five-component Gross–Pitaevskii equation, which is demonstrated to describe the dynamics of an spinor Bose–Einstein condensate in one dimension. By employing the Hirota method with an auxiliary function, we obtain… read more here.

Keywords: pitaevskii equation; bose einstein; soliton solutions; gross pitaevskii ... See more keywords
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A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space–Fractional Gross–Pitaevskii Equation

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Published in 2019 at "International Journal of Applied Mathematics and Computer Science"

DOI: 10.2478/amcs-2019-0053

Abstract: Abstract The present work departs from an extended form of the classical multi-dimensional Gross–Pitaevskii equation, which considers fractional derivatives of the Riesz type in space, a generalized potential function and angular momentum rotation. It is… read more here.

Keywords: pitaevskii equation; space; conservative scheme; gross pitaevskii ... See more keywords