Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Kong, Linghua¹  Hong, Jialin²  Fu, Fangfang³  Chen, Jing⁴ 

[1] Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Chinese Acad Sci, AMSS, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China

[3] Nanchang Inst Sci & Technol, Basic Teachering Dept, Nanchang 330108, Jiangxi, Peoples R China

[4] Jiangxi Agr Univ, Sch Sci, Nanchang 330011, Jiangxi, Peoples R China

关键词: Gross-Pitaevskii equation;    Symplectic integrator;    Splitting symplectic integrator;    Conservation laws;   

DOI  :  10.1016/j.cam.2011.04.019

来源: Elsevier

【 摘 要 】

Symplectic integrators have been developed for solving the two-dimensional Gross-Pitaevskii equation. The equation is transformed into a Hamiltonian form with symplectic structure. Then, symplectic integrators, including the midpoint rule, and a splitting symplectic scheme are developed for treating this equation. It is shown that the proposed codes fulfill the discrete charge conservation law. Furthermore, the global error of the numerical solution is theoretically estimated. The theoretical analysis is supported by some numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

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