Results 91 to 100 of about 634 (180)
Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method
AIP Advances, 2014 We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of ...
Ying Wang, Yu Zhou
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Physical Review ResearchSolving partial differential equations across multiple length scales represents a formidable challenge where reaching high precision can require a prohibitive amount of computer memory or computing time.
Marcel Niedermeier +4 more
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Partial Differential Equations in Applied MathematicsWe investigate the spatial profiles of periodic localized modes in attractive Bose-Einstein condensates, by solving the mean-field Gross-Pitaevskii equation in the presence of elliptic-type periodic potential.
Nkeh Oma Nfor +2 more
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International Journal of Applied Mathematics and Computer Science, 2019 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.
Hendy Ahmed S., Macías-Díaz Jorge E.
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Decay for travelling waves in the Gross–Pitaevskii equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2004 We study the limit at infinity of the travelling waves of finite energy in the Gross–Pitaevskii equation in dimension larger than two: their uniform convergence to a constant of modulus one and their asymptotic decay. Résumé Nous étudions la limite à l’infini des ondes progressives d’énergie finie pour les équations ...
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Dynamics of Bose-Einstein Condensates Subject to the Pöschl-Teller Potential through Numerical and Variational Solutions of the Gross-Pitaevskii Equation. [PDF]
Materials (Basel), 2020 Pereira LC, Nascimento VAD.
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Equation of State for Turbulence in the Gross-Pitaevskii Model
Physical Review LettersWe report the numerical observation of a far-from-equilibrium equation of state (EOS) in the Gross-Pitaevskii (GP) model. We first show that the momentum distribution of the turbulent cascade is well described by wave-turbulent kinetic theory in the appropriate limits. Calculating the energy and particle fluxes
Gevorg Martirosyan +2 more
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The stochastic Gross-Pitaevskii equation [PDF]
Journal of Physics B: Atomic, Molecular and Optical Physics, 2002 C W Gardiner, J R Anglin, T I A Fudge
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Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE
Electronic Journal of Differential Equations, 2010 A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami +2 more
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Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
Symmetry, Integrability and Geometry: Methods and Applications, 2005 The Gross-Pitaevskii equation with a local cubic nonlinearity that describes a many-dimensional system in an external field is considered in the framework of the complex WKB-Maslov method.
Alexey Borisov +2 more
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