TY - JOUR
T1 - An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations
AU - Wang , Lan
AU - Cai , Wenjun
AU - Wang , Yushun
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 203
EP - 231
PY - 2020
DA - 2020/10
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2019-0308
UR - https://global-sci.org/intro/article_detail/aamm/18348.html
KW - Coupled Gross-Pitaevskii equations, average vector field method, high order compact method, energy-preserving scheme.
AB - <p style="text-align: justify;">An energy-preserving scheme is proposed for the coupled Gross-Pitaevskii equations.&nbsp; The scheme is constructed by high order compact method in the spatial direction and average vector field method in the temporal direction, respectively. The scheme is energy-preserving, stable, and of sixth order in space and of second order in time. Numerical experiments verify the theoretical results. The dynamic behavior modeled by the coupled Gross-Pitaevskii equations is also numerically investigated.</p>