Explicit Symplectic Methods for the Nonlinear Schrodinger Equation
文献类型：期刊论文
| 作者 | Guan, Hua1; Jiao, Yandong1; Liu, Ju2; Tang, Yifa1
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| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2009-09-01 |
| 卷号 | 6期号:3页码:639-654 |
| 关键词 | Explicit symplectic method L-L-N splitting nonlinear Schrodinger equation |
| ISSN号 | 1815-2406 |
| 英文摘要 | By performing a particular spatial discretization to the nonlinear Schrodinger equation (NLSE), we obtain a non-integrable Hamiltonian system which can be decomposed into three integrable parts (L-L-N splitting). We integrate each part by calculating its phase flow, and develop explicit symplectic integrators of different orders for the original Hamiltonian by composing the phase flows. A 2nd-order reversible constructed symplectic scheme is employed to simulate solitons motion and invariants behavior of the NLSE. The simulation results are compared with a 3rd-order non-symplectic implicit Runge-Kutta method, and the convergence of the formal energy of this symplectic integrator is also verified. The numerical results indicate that the explicit symplectic scheme obtained via L-L-N splitting is an effective numerical tool for solving the NLSE. |
| 资助项目 | Chinese Academy of Sciences[INF105-SCE] ; National Natural Science Foundation of China[10471145] ; National Natural Science Foundation of China[10672143] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000267111400011 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8977]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, Yifa |
| 作者单位 | 1.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Xi An Jiao Tong Univ, Sch Sci, Dept Sci Computat & Appl Software, Xian 710049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guan, Hua,Jiao, Yandong,Liu, Ju,et al. Explicit Symplectic Methods for the Nonlinear Schrodinger Equation[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2009,6(3):639-654. |
| APA | Guan, Hua,Jiao, Yandong,Liu, Ju,&Tang, Yifa.(2009).Explicit Symplectic Methods for the Nonlinear Schrodinger Equation.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,6(3),639-654. |
| MLA | Guan, Hua,et al."Explicit Symplectic Methods for the Nonlinear Schrodinger Equation".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 6.3(2009):639-654. |
入库方式： OAI收割
来源：数学与系统科学研究院
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