Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation
文献类型：期刊论文
| 作者 | Tang, Yifa ; Cao, Jianwen; Liu, Xiangtao; Sun, Yuanchang
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| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
 |
| 出版日期 | 2007-03-09 |
| 卷号 | 40期号:10页码:2425-2437 |
| ISSN号 | 1751-8113 |
| DOI | 10.1088/1751-8113/40/10/012 |
| 英文摘要 | Using several kinds of coordinate transformations, we standardize the noncanonical symplectic structure of the Ablowitz - Ladik model ( A - L model) of nonlinear Schrodinger equation (NLSE), then we employ some symplectic scheme to simulate the solitons motion and test the evolution of the discrete invariants of the A - L model and also the conserved quantities of the original NLSE. In comparison with a higher order non-symplectic scheme applied directly to the A - L model, we show the overwhelming superiorities of the symplectic method. We also compare the implementation of the same symplectic scheme to different standardized Hamiltonian systems resulting from different coordinate transformations, and show that the symmetric coordinate transformation improves the numerical results obtained via the asymmetric one, in preserving the invariants of the A - L model and the original NLSE. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000245035200015 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5053]  |
| 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, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Yifa,Cao, Jianwen,Liu, Xiangtao,et al. Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2007,40(10):2425-2437. |
| APA | Tang, Yifa,Cao, Jianwen,Liu, Xiangtao,&Sun, Yuanchang.(2007).Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,40(10),2425-2437. |
| MLA | Tang, Yifa,et al."Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 40.10(2007):2425-2437. |
入库方式： OAI收割
来源：数学与系统科学研究院
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