维数约化的弱耦合KP-Boussinesq方程的lump解和有理解
PDF下载 (314)刘 袁,汪一航.维数约化的弱耦合KP-Boussinesq方程的lump解和有理解[J].宁波大学学报(理工版),2021,34(5):43-48.DOI:
LIU Yuan,WANG Yihang.Lump and rational solutions to the dimensionally reduced weakly coupled KP-Boussinesq equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2021,34(5):43-48.DOI:
| Title: | Lump and rational solutions to the dimensionally reduced weakly coupled KP-Boussinesq equation |
| 作者: | 刘 袁, 汪一航 |
| Author(s): | LIU Yuan, WANG Yihang |
| 关键词: | 弱耦合广义KP-Boussinesq方程; 双线性方程; lump解; 有理解; 数值分析 |
| Keywords: | weakly coupled generalized KP-Boussinesq equation; bilinear equations; lump solutions; rational solutions; numerical analysis |
| 分类号: | O175 |
| 文献标识码: | A |
| 摘要: | 利用Zm-KP方程族, 构造了一个新的弱耦合广义KP-Boussinesq方程. 基于Hirota双线性方法, 通过构造对称的半正定矩阵, 得到维数约化情形下的lump解和有理解, 并对其基本特征进行了研究. 另外, 通过对有理解的数值分析研究了其动力学性质. |
| Abstract: | By taking advantage of Zm-KP hierarchy, a new weakly coupled generalized KP–Boussinesq equation is constructed. Based on the Hirota bilinear method and constructions to the symmetric positive semi-definite matrix, the lump and rational solutions are obtained in the dimensionally reduced cases. Characteristics of solutions are also investigated. The dynamic properties of rational solutions are also derived using the numerical analysis. |
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| 备注/Memo: | 收稿日期: 2021－03－17. 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（11775121, 11435005）. 第一作者: 刘袁（1995－）, 男, 江苏泰州人, 在读硕士研究生, 主要研究方向: 孤立子理论和潮汐数值模拟. E-mail: 853420363@qq.com *通信作者: 汪一航（1963－）, 男, 浙江宁波人, 副教授, 主要研究方向: 潮汐数值模拟. E-mail: wangyihang@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
