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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Exact solutions of the modified Gross-Pitaevskii equation in `smart' periodic potentials in the presence of external source [PDF]
, 2009 Thokala Soloman Raju +1 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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Singularity Formation and Collapse in the Attractive Gross-Pitaevskii Equation [PDF]
, 2001 A. V. Rybin +2 more
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On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability [PDF]
, 2013 Jesús Sierra +3 more
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The Partition Function of the Bose-Einstein Condensation in Parabolic Trap
Makara Seri Sains, 2012 We have discussed the partition function of the Bose-Einstein condensation in parabolic trap associated to the one-dimensional Gross-Pitaevskii equation. The partition function itself is constructed by considering all the energy levels of the macroscopic
Sinta Latifa, Teguh Budi Prayitno
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Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition [PDF]
, 2017 L. M. Symes, P. B. Blakie
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One-dimensional cubic-quintic Gross-Pitaevskii equation for Bose-Einstein condensates in a trap potential [PDF]
, 2013 Carlos Trallero Giner +5 more
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New Dynamics of the Classical and Nonlocal Gross-Pitaevskii Equation with a Parabolic Potential [PDF]
, 2020 Shimin Liu, Hua Wu, Da‐jun Zhang
semanticscholar +1 more source