势Korteweg-de Vries方程的暗方程分类
PDF下载 (545)陈 觅,李 彪.势Korteweg-de Vries方程的暗方程分类[J].宁波大学学报(理工版),2019,32(1):80-83.DOI:
CHEN Mi,LI Biao.Classification of dark potential Korteweg-de Vries equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2019,32(1):80-83.DOI:
| Title: | Classification of dark potential Korteweg-de Vries equation |
| 作者: | 陈 觅, 李 彪 |
| Author(s): | CHEN Mi, LI Biao |
| 关键词: | 暗方程; 势Korteweg-de Vries方程; 递归算子 |
| Keywords: | dark equation; potential Korteweg-de Vries equation; recursion operator |
| 分类号: | O175.29 |
| 文献标识码: | A |
| 摘要: | 通过要求势Korteweg-de Vries(KdV)方程和线性扩展方程具有高阶对称, 获得了势KdV方程的完整的暗方程标量分类: 8类具有若干自由参数的相互独立的暗方程. 然后通过一个直接假设方法, 获得了势KdV方程的8类暗方程的递归算子. |
| Abstract: | In this paper, we obtain a complete scalar classification for dark potential Korteweg-de Vries (pKdV) equation system by requiring the existence of higher order differential polynomial symmetries. There exist eight independent classes of dark pKdV equation with some free parameters. The recursion operators of dark pKdV equations are then constructed using a direct assumption method. |
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| 备注/Memo: | 收稿日期: 2018－06－22. 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）; 宁波大学王宽诚幸福基金.第一作者: 陈觅（1991－）, 女, 河南商丘人, 在读硕士研究生, 主要研究方向: 非线性偏微分方程. E-mail: 1732756730@qq.com*通信作者: 李彪（1971－）, 男, 湖南会同人, 教授, 主要研究方向: 数学物理与数学机械化. E-mail: libiao@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
