KMS Of Academy of mathematics and systems sciences, CAS
| A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations | |
Chen, Chuchu1 ; Hong, Jialin1; Ji, Lihai2; Kong, Linghua3
| |
| 2017 | |
| Source Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| ISSN | 1815-2406 |
| Volume | 21Issue:1Pages:93-125 |
| Abstract | In this paper, we propose a compact scheme to numerically study the coupled stochastic nonlinear Schrodinger equations. We prove that the compact scheme preserves the discrete stochastic multi-symplectic conservation law, discrete charge conservation law and discrete energy evolution law almost surely. Numerical experiments confirm well the theoretical analysis results. Furthermore, we present a detailed numerical investigation of the optical phenomena based on the compact scheme. By numerical experiments for various amplitudes of noise, we find that the noise accelerates the oscillation of the soliton and leads to the decay of the solution amplitudes with respect to time. In particular, if the noise is relatively strong, the soliton will be totally destroyed. Meanwhile, we observe that the phase shift is sensibly modified by the noise. Moreover, the numerical results present inelastic interaction which is different from the deterministic case. |
| Keyword | Coupled stochastic nonlinear Schrodinger equations compact scheme stochastic multi-symplectic conservation law energy evolution law charge conservation law soliton evolution soliton interaction |
| DOI | 10.4208/cicp.300815.180416a |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[91530118] ; National Natural Science Foundation of China[91130003] ; National Natural Science Foundation of China[11021101] ; National Natural Science Foundation of China[11290142] ; National Natural Science Foundation of China[11471310] ; National Natural Science Foundation of China[11601032] ; National Natural Science Foundation of China[11301234] ; National Natural Science Foundation of China[11271171] ; Provincial Natural Science Foundation of Jiangxi[20142BCB23009] ; Provincial Natural Science Foundation of Jiangxi[20161ACB20006] ; Provincial Natural Science Foundation of Jiangxi[20151BAB201012] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000390196800005 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/24375 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Ji, Lihai |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 3.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China |
| Recommended Citation GB/T 7714 | Chen, Chuchu,Hong, Jialin,Ji, Lihai,et al. A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2017,21(1):93-125. |
| APA | Chen, Chuchu,Hong, Jialin,Ji, Lihai,&Kong, Linghua.(2017).A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,21(1),93-125. |
| MLA | Chen, Chuchu,et al."A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 21.1(2017):93-125. |
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