Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap |
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| Authors: | Shi Yu-Ren Liu Cong-Bo Wang Guang-Hui and Zhou Zhi-Gang |
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| Institution: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | The Homotopy analysis method(HAM) is adopted to find the approximate analytical solutions of the GrossPitaevskii equation,a nonlinear Schrodinger equation is used in simulation of Bose-Einstein condensates trapped in a harmonic potential.Comparisons between the analytical solutions and the numerical solutions have been made.The results indicate that they fit very well with each other when the atomic interaction is weak. |
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| Keywords: | Gross-Pitaevskii equation homotopy analysis method analytical solution |
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