Editing Bose–Einstein condensate (section)

==== Numerical solution ====
The Gross-Pitaevskii equation is a partial differential equation in space and time variables. Usually it does not have analytic solution and
different numerical methods, such as split-step
[[Crank–Nicolson method|Crank–Nicolson]]<ref>{{cite journal
 |author=P. Muruganandam and S. K. Adhikari
 |year=2009
 |title=Fortran Programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
 |journal=Comput. Phys. Commun.
 |volume=180 |issue=3 |pages=1888–1912
 |doi=10.1016/j.cpc.2009.04.015
|bibcode=2009CoPhC.180.1888M|arxiv=0904.3131|s2cid=7403553
 }}</ref>
and [[Fourier spectral]]<ref>{{cite journal
 |author=P. Muruganandam and S. K. Adhikari
 |year=2003
 |title=Bose–Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
 |journal=J. Phys. B
 |volume=36 |issue= 12|pages=2501–2514
 |doi=10.1088/0953-4075/36/12/310
 |bibcode=2003JPhB...36.2501M|arxiv=cond-mat/0210177|s2cid=13180020
 }}</ref> methods, are used for its solution. There are different Fortran and C programs for its solution for [[contact interaction]]<ref>{{cite journal
 |author=D. Vudragovic|display-authors=et al
 |year=2012
 |title=C Programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
 |journal= Comput. Phys. Commun.
 |volume=183 |issue=9 |pages=2021–2025
 |doi=10.1016/j.cpc.2012.03.022
  |bibcode=2012CoPhC.183.2021V|arxiv=1206.1361|s2cid=12031850
 }}</ref><ref>
{{cite journal
 |author=L. E. Young-S.|display-authors=et al
 |year=2016
 |title=OpenMP Fortran and C Programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
 |journal= Comput. Phys. Commun.
 |volume=204 |issue=9 |pages=209–213
 |doi=10.1016/j.cpc.2016.03.015
 |bibcode=2016CoPhC.204..209Y|arxiv=1605.03958|s2cid=206999817
 }}</ref>
and long-range [[dipolar interaction]]<ref>
{{cite journal
 |author=K. Kishor Kumar|display-authors=et al
 |year=2015
 |title=Fortran and C Programs for the time-dependent dipolar Gross-Pitaevskii equation in a fully anisotropic trap
 |journal= Comput. Phys. Commun.
 |volume=195 |pages=117–128
 |doi=10.1016/j.cpc.2015.03.024
 |bibcode=2015CoPhC.195..117K|arxiv=1506.03283|s2cid=18949735
 }}</ref> which can be freely used.