|
|
|
A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system |
| Jiang Chao-Long (蒋朝龙), Sun Jian-Qiang (孙建强) |
| College of Information Science and Technology, Hainan University, Haikou 570228, China |
|
|
|
|
Abstract A high order energy preserving scheme for a strongly coupled nonlinear Schrödinger system is proposed by using the average vector field method. The high order energy preserving scheme is applied to simulate the soliton evolution of the strongly coupled Schrödinger system. Numerical results show that the high order energy preserving scheme can well simulate the soliton evolution, moreover, it preserves the discrete energy of the strongly coupled nonlinear Schrödinger system exactly.
|
Received: 23 August 2013
Revised: 12 October 2013
Accepted manuscript online:
|
|
PACS:
|
02.60.Cb
|
(Numerical simulation; solution of equations)
|
| |
02.70.Bf
|
(Finite-difference methods)
|
| |
02.30.Jr
|
(Partial differential equations)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11161017) and the National Science Foundation of Hainan Province, China (Grant No. 113001). |
Corresponding Authors:
Sun Jian-Qiang
E-mail: sunjq123@163.com
|
| About author: 02.60.Cb; 02.70.Bf; 02.30.Jr |
Cite this article:
Jiang Chao-Long (蒋朝龙), Sun Jian-Qiang (孙建强) A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system 2014 Chin. Phys. B 23 050202
|
| [1] |
Gross E 1963 J. Math. Phys. 4 195
|
| [2] |
Wadati M, Izuka T and Hisakado M 1992 J. Phys. Soc. Jpn. 61 2241
|
| [3] |
Zakharov V E and Schulman E I 1982 Physica D 4 270
|
| [4] |
Aydin A and Karasözen B 2007 Comput. Phys. Commun. 177 566
|
| [5] |
Zhang R P, Yu X J and Feng T 2012 Chin. Phys. B 21 030202
|
| [6] |
Cai J X 2010 Appl. Math. Comput. 216 2417
|
| [7] |
Qian X, Chen Y M, Gao E and Song S H 2012 Chin. Phys. B 21 120202
|
| [8] |
Cai J X and Wang Y S 2013 Chin. Phys. B 22 060207
|
| [9] |
Feng K and Qin M Z 2010 Symplectic Geometric Algorithms for Hamiltonian Systems (Heidelberg: Springer and Zhejiang Science and Technology Publishing House)
|
| [10] |
Qin M Z and Wang Y S 2011 Structure-Perseving Algorithms for Partial Differential Equation (Hangzhou: Zhejiang Science and Technology Publishing House) (in Chinese)
|
| [11] |
Cai J X, Yang B and Liang H 2013 Chin. Phys. B 22 030209
|
| [12] |
Huang L Y, Jiao Y D and Liang D M 2013 Chin. Phys. B 22 070201
|
| [13] |
Hong J L, Jiang S S and Li C 2009 J. Comput. Phys. 228 3157
|
| [14] |
Quispel G R W and McLaren D I 2008 J. Phys. A: Math. Theor. 41 045206
|
| [15] |
Celledoni E, Grimmv V, Mclachlan R I and Mclaren D I 2012 J. Comput. Phys. 231 6770
|
| [16] |
Celledoni E, McLachlan R I, Owren B and Quispel G R W 2010 Found. Comput. Math. 10 673
|
| [17] |
Chartier P, Faou E and Murua A 2006 Numer. Math. 103 575
|
| [18] |
McLachlan R I, Quispel G R W and N Robidoux 1999 Phil. Trans. Roy. Soc. A 357 1021
|
| [19] |
Sun J Q and Qin M Z 2003 Comput. Phys. Commun. 155 221
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
