长短波方程多辛数值模拟

doi:10.3969/j.issn.0253-2778.2015.09.003

中国科学技术大学学报 ›› 2015, Vol. 45 ›› Issue (9): 721-726.DOI: 10.3969/j.issn.0253-2778.2015.09.003

• 论著 • 上一篇

长短波方程多辛数值模拟

王兰，段雅丽，孔令华

1.江西师范大学数学与信息科学学院，江西南昌 330022; 2.江苏省大规模复杂系统数值模拟重点实验室,南京师范大学数学科学学院，江苏南京 210023; 3.中国科学技术大学数学科学学院，安徽合肥 230026

收稿日期:2014-03-06 修回日期:2014-08-20 接受日期:2014-08-20 出版日期:2014-08-20 发布日期:2014-08-20

Numerical simulation between long and short waves by multisymplectic method

WANG Lan, DUAN Yali, KONG Linghua

1.School of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China; 2.Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China; 3.School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

Received:2014-03-06 Revised:2014-08-20 Accepted:2014-08-20 Online:2014-08-20 Published:2014-08-20
Contact: KONG Linghua
About author:WANG Lan, female, born in 1979, master/lecturer. Research field: numerical methods for PDEs.
Supported by:
Supported by the NNSFC (11301234, 11271171, 11101399), the Provincial Natural Science Foundation of Jiangxi (20142BCB23009, 20151BAB201012), State Key Laboratory of Scientific and Engineering Computing, CAS, and Jiangsu Key Lab for NSLSCS (201302).

摘要/Abstract

摘要： 主要研究了Schrdinger-KdV方程的保多辛结构的数值格式.首先讨论了它的正则方程组，然后对此方程组用多辛格式，例如中点格式离散.数值实验验证了格式的有效性.

关键词: Schrdinger-KdV方程, 长短波, 多辛

Abstract: The multisymplectic structure-preserving scheme for the Schrdinger-KdV equation was investigated. First the canonical formulation of the equation was discussed. Then, it was discretized by the multisymplectic integrator, such as a midpoint integrator. Numerical results were presented to illustrate the validity of the new scheme.

Key words: Schrdinger-KdV equation, long and short waves, multisymplectic method

中图分类号:

O241.8

王兰，段雅丽，孔令华. 长短波方程多辛数值模拟[J]. 中国科学技术大学学报, 2015, 45(9): 721-726.

WANG Lan, DUAN Yali, KONG Linghua. Numerical simulation between long and short waves by multisymplectic method[J]. Journal of University of Science and Technology of China, 2015, 45(9): 721-726.

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长短波方程多辛数值模拟

Numerical simulation between long and short waves by multisymplectic method

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