KdV方程的孤子-椭圆周期波解及其准孤立子行为
PDF下载 (283)王建勇.KdV方程的孤子-椭圆周期波解及其准孤立子行为[J].宁波大学学报(理工版),2020,33(5):62-67.DOI:
WANG Jianyong.Soliton-cnoidal wave solution and its quasi-soliton behavior to the Korteweg-de Vries equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2020,33(5):62-67.DOI:
| Title: | Soliton-cnoidal wave solution and its quasi-soliton behavior to the Korteweg-de Vries equation |
| 作者: | 王建勇 |
| Author(s): | WANG Jianyong |
| 关键词: | KdV方程; 孤子-椭圆周期波解; 准孤立子行为; 推广的tanh函数展开法 |
| Keywords: | Korteweg-de Vries equation; soliton-cnoidal wave solution; quasi-soliton behavior; generalized tanh expansion method |
| 分类号: | O411.1 |
| 文献标识码: | A |
| 摘要: | 以KdV方程为例讨论了孤子-椭圆周期波解的准孤立子行为及其相互作用性质. 首先应用推广的tanh函数展开法构造了KdV方程的孤子-椭圆周期波解及其准孤立子极限, 并由孤子-椭圆周期波解的“穿衣服”结构给出了周期波的相移公式. 此外, 结合国内外研究前沿, 讨论了该解的物理应用. |
| Abstract: | In this paper, a soliton-cnoidal wave solution with its quasi-soliton behavior to the Korteweg-de Vries equation is obtained using the generalized tanh expansion method. Firstly, the extended tanh function expansion method is used to construct the soliton-elliptic periodic wave solution of the KdV equation and its quasi-solitary limit. The phase shift formula of the periodic wave is given by the “clothing” structure of the soliton-elliptic periodic wave solution. In addition, combined with domestic and foreign research frontiers, the physical application of the solution is discussed. |
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| 备注/Memo: | 收稿日期: 2020－05－11. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11605102）. 作者简介: 王建勇（1983－）, 男, 浙江江山人, 副教授, 主要研究方向: 孤立子与可积系统. E-mail: jywangqz@126.com 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
