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LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates
Communications in Computational Physics
AbstractThe local one-dimensional multisymplectic scheme (LOD-MS) is developed for the three-dimensional (3D) Gross-Pitaevskii (GP) equation in Bose-Einstein condensates. The idea is originated from the advantages of multisymplectic integrators and from the cheap computational cost of the local one-dimensional (LOD) method. The 3D GP equation is split into three linear LOD Schrödinger equations and an exactly solvable nonlinear Hamiltonian ODE. The three linear LOD Schrödinger equations aredoi:10.4208/cicp.111211.270712a fatcat:3kwm5uregjhsvkobpnbud4b7s4