[1]黄浪扬.非线性四阶Schrödinger方程的半显式多辛拟谱格式[J].华侨大学学报(自然科学版),2013,34(6):706-709.[doi:10.11830/ISSN.1000-5013.2013.06.0706]
　HUANG Lang-yang.Simi-Explicit Multi-Symplectic Pseudo-Spectral Scheme for the Nonlinear Four-Order Schrödinger Equation[J].Journal of Huaqiao University(Natural Science),2013,34(6):706-709.[doi:10.11830/ISSN.1000-5013.2013.06.0706]
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非线性四阶Schrödinger方程的半显式多辛拟谱格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第34卷
期数:
2013年第6期
页码:
706-709
栏目:
出版日期:
2013-11-20

文章信息/Info

Title:
Simi-Explicit Multi-Symplectic Pseudo-Spectral Scheme for the Nonlinear Four-Order Schrödinger Equation
文章编号:
1000-5013(2013)06-0706-04
作者:
黄浪扬
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
HUANG Lang-yang
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
四阶Schrö;  dinger方程;  半显式;  辛欧拉方法;  多辛拟谱格式;  守恒律;  数值实验
Keywords:
four-order Schrö;  dinger equation;  simi-explicit;  symplectic Euler method;  multi-symplectic pseudo-spectral scheme;  conservation law;  numerical experiments
分类号:
O241.82
DOI:
10.11830/ISSN.1000-5013.2013.06.0706
文献标志码:
A
摘要:
将空间方向的Fourier拟谱方法与时间方向的辛欧拉方法结合在一起,构造出了非线性四阶Schrödinger方程的一个半显式多辛拟谱格式.数值结果表明:所构造的格式在长时间计算后,能很好地保持原方程的电荷守恒性质,是有效可行的数值方法.
Abstract:
Combining the Fourier pseudo-spectral method in spatial direction with symplectic Euler method in time direction together, we construct a simi-explicit multi-symplectic pseudo-spectral scheme for the nonlinear four-order Schrödinger equation. Numerical results show that the scheme constructed in this paper can well preserve the charge conservation nature of the original equation after a long time computation and it is an effective and practicable numerical method.

参考文献/References:

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[12] 王志焕, 黄浪扬. 组合KdV-mKdV方程的多辛Fourier 拟谱格式[J]. 华侨大学学报:自然科学版,2011,32(4):471-474.

备注/Memo

备注/Memo:
收稿日期: 2012-09-01
通信作者: 黄浪扬(1974-),男,副教授,主要从事偏微分方程数值解法的研究.E-mail:hly6@163.com.
基金项目: 国家自然科学基金资助项目(11271171, 11126330); 福建省自然科学基金资助项目(2011J01010); 中央高校基本科研业务费专项资金资助, 华侨大学侨办科研基金资助项目(10QZR21)
更新日期/Last Update: 2013-11-20