使用Mathematica研究KDV方程的一类孤立子解

石长光; 吴福寿; 王开

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上海电力大学学报:2007,23(3):287-291

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使用Mathematica研究KDV方程的一类孤立子解

石长光¹, 吴福寿², 王开¹

(1.上海电力学院数理系, 上海 200090;2.上海电力学院电力与自动化工程学院, 上海 200090)

Research on a Class of Soliton Solutions to KDV Equations in Mathematica

SHI Chang-guang¹, WU Fu-shou², WANG Kai¹

(1.Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China;2.School of Electric Power & Automation Engineering, Shanghai University of Electric Power, Shanghai 200090, China)

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投稿时间：2007-01-19

中文摘要: 使用简化的KDV方程的解析孤立子解,借助于Mathematica软件,展示了孤立子解的物理特点,并完成了双孤子碰撞过程的动画仿真,形象地展示了孤立子的准粒子性.

中文关键词: 孤波孤立子 KDV方程非线性

Abstract:By utilizing the soliton solution to the simplified KDV equation and software Mathe-matica,the physical features of soliton are analyzed and exhibited.Furthermore,the animation of the collision process of double solitons is simulated,and the quasi-particle property of the soliton is exhibited.

keywords: Solitary wave soliton KDV equation non-linearity

文章编号：20070324 中图分类号： 文献标志码：

基金项目:

作者	单位
石长光	上海电力学院数理系, 上海 200090
吴福寿	上海电力学院电力与自动化工程学院, 上海 200090
王开	上海电力学院数理系, 上海 200090

Author Name	Affiliation
SHI Chang-guang	Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China
WU Fu-shou	School of Electric Power & Automation Engineering, Shanghai University of Electric Power, Shanghai 200090, China
WANG Kai	Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

引用文本：
石长光,吴福寿,王开.使用Mathematica研究KDV方程的一类孤立子解[J].上海电力大学学报,2007,23(3):287-291.
SHI Chang-guang,WU Fu-shou,WANG Kai.Research on a Class of Soliton Solutions to KDV Equations in Mathematica[J].Journal of Shanghai University of Electric Power,2007,23(3):287-291.