Levi方程组的最优系统、对称约化和守恒律
PDF下载 (13286)鲁亚南,沃维丰 *.Levi方程组的最优系统、对称约化和守恒律[J].宁波大学学报(理工版),2018,31(2):74-78.DOI:
LU Ya-nan,WO Wei-feng *.Optimal system, symmetry reductions and conservation laws of Levi equations[J].Journal of Ningbo University(Natural Science & Engineering Edition),2018,31(2):74-78.DOI:
| Title: | Optimal system, symmetry reductions and conservation laws of Levi equations |
| 作者: | 鲁亚南, 沃维丰 * |
| Author(s): | LU Ya-nan, WO Wei-feng * |
| 关键词: | 李群分析; 最优系统; 对称约化; 守恒律 |
| Keywords: | Lie group analysis; optimal system; symmetry reductions; conservation laws |
| 分类号: | O175.27 |
| 文献标识码: | A |
| 摘要: | 利用李群分析方法得到了Levi方程组的向量场并构造了对应的一维最优系统, 根据最优系统对方程组进行约化, 给出了方程组的守恒律. |
| Abstract: | The vector fields of Levi equations are obtained and a corresponding one-dimensional optimal system is found. Reduced equations and conservation laws associated to the optimal system are discussed. |
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| 备注/Memo: | 收稿日期: 2017－10－08. 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（11201249）; 浙江省自然科学基金（LY16A010002）. 第一作者: 鲁亚南（1992－）, 女, 湖北荆门人, 在读硕士研究生, 主要研究方向: 偏微分方程. E-mail: luyananhahaha@163.com *通信作者: 沃维丰（1981－）, 女, 浙江宁波人, 博士/副教授, 主要研究方向: 偏微分方程. E-mail: woweifeng@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
