Vallis系统的不变代数曲面研究

杨静; 谈文慧; 魏周超

doi:10.21656/1000-0887.420112

Vallis系统的不变代数曲面研究

doi: 10.21656/1000-0887.420112

中国地质大学（武汉）数学与物理学院，武汉 430074

基金项目: 国家自然科学基金(12172340；11772306；11832002)

详细信息

作者简介:
杨静(1995—)，女(E-mail：865097354@qq.com)

谈文慧(1998—)，女(E-mail：1944694147@qq.com)

魏周超(1984—)，男，教授，博士，博士生导师(通讯作者. E-mail：weizhouchao@163.com)

中图分类号: O151
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- 被引次数: 0
出版历程
- 收稿日期: 2021-04-28
- 录用日期: 2021-06-22
- 修回日期: 2021-06-22
- 网络出版日期: 2021-12-04
- 刊出日期: 2022-01-01

Invariant Algebraic Surfaces of the Vallis System

School of Mathematics and Physics, China University of Geosciences(Wuhan), Wuhan 430074, P.R.China

摘要

摘要:
该文研究了Vallis系统的Darboux多项式和不变代数曲面问题。在证明中，使用加权齐次多项式和特征曲线的方法，通过求解线性偏微分方程，得到了在适当的参数条件下，Vallis系统存在三类Darboux多项式。
- 不变代数曲面 /
- Darboux多项式 /
- Vallis系统
Abstract:
The Darboux polynomials and invariant algebraic surfaces of the Vallis system were investigated. In the proofs, the weighted homogeneous polynomials and the characteristic curve method were used to solve linear partial differential equations. Finally, 3 types of Darboux polynomials for the Vallis system were obtained under suitable conditions of parameters.
- invariant algebraic surface /
- Darboux polynomial /
- Vallis system

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参考文献(27)

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