Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap. These programs are designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in one, two or three space dimensions with a harmonic, circularly-symmetric, spherically-symmetric, axially-symmetric or anisotropic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Solution method: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicholson method by discretizing in space and time. The discretized equation is then solved by propagation, in either imaginary or real time, over small time steps. The method yields the solution of stationary and/or non-stationary problems.

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  1. Hua, Wei; Liu, Shi Xing; Zhang, Teng: Interferences and solitons in the Bose-Einstein condensates with two- and three-body interactions (2020)
  2. Adhikari, S. K.: Phase-separated vortex-lattice in a rotating binary Bose-Einstein condensate (2019)
  3. Kuang, Yang; Hu, Guanghui: An adaptive FEM with ITP approach for steady Schrödinger equation (2018)
  4. Chiquillo, Emerson: Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates (2017)
  5. Luis E. Young-S.; Paulsamy Muruganandam; Sadhan K. Adhikari; Vladimir Loncar; Dusan Vudragovic; Antun Balaz: OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation (2017) arXiv
  6. Vinayagam, P. S.; Radha, R.; Bhuvaneswari, S.; Ravisankar, R.; Muruganandam, P.: Bright soliton dynamics in spin orbit-Rabi coupled Bose-Einstein condensates (2017)
  7. Young-S., Luis E.; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Lončar, Vladimir; Vudragović, Dušan; Balaž, Antun: OpenMP GNU and intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation (2017)
  8. Marojević, Želimir; Göklü, Ertan; Lämmerzahl, Claus: ATUS-PRO: a FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation (2016)
  9. Vergez, Guillaume; Danaila, Ionut; Auliac, Sylvain; Hecht, Frédéric: A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation (2016)
  10. Young-S., Luis E.; Vudragović, Dušan; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Balaž, Antun: OpenMP Fortran and C programs for solving the time-dependent Gross-Pitaevskii equation in an anisotropic trap (2016)
  11. Antoine, Xavier; Duboscq, Romain: Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity (2015)
  12. Kishor Kumar, R.; Young-S., Luis E.; Vudragović, Dušan; Balaž, Antun; Muruganandam, Paulsamy; Adhikari, S. K.: Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap (2015)
  13. Moxley, Frederick Ira; Byrnes, Tim; Ma, Baoling; Yan, Yun; Dai, Weizhong: A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations (2015)
  14. Antoine, Xavier; Duboscq, Romain: GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions (2014)
  15. Balaž, Antun; Nicolin, Alexandru I.: Fragmentation of a Bose-Einstein condensate through periodic modulation of the scattering length (2014)
  16. Calaça, L.; Avelar, A. T.; Bazeia, D.; Cardoso, Wesley B.: Modulation of localized solutions for the Schrödinger equation with logarithm nonlinearity (2014)
  17. Luo, Ji: Nonlinear Schrödinger equation containing the time-derivative of the probability density: a numerical study (2014)
  18. Wang, Yuan-Sheng; Li, Zhen-Yu; Zhou, Zhu-Wen; Diao, Xin-Feng: Symmetry breaking and a dynamical property of a dipolar Bose-Einstein condensate in a double-well potential (2014)
  19. Bao, Weizhu; Marahrens, Daniel; Tang, Qinglin; Zhang, Yanzhi: A simple and efficient numerical method for computing the dynamics of rotating Bose--Einstein condensates via rotating Lagrangian coordinates (2013)
  20. Bao, Weizhu; Tang, Qinglin; Xu, Zhiguo: Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation (2013)

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