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Integrable System and Motion of Curves in Projective and Similarity Geometries
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O181[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Electronics, Northwest University, Xi＇an 710069, China
  • 相关基金：The project supported in part by National Natural Science Foundation of China under Grant No. 10371098 and the Natural Science Foundation of Shaanxi Province of China;It is my pleasure to thank Prof. Qu Chang-Zheng for his helpful discussion
作者： HOU Yu-Qing[1]
关键词： 可积分系统, 曲线运动, 相似性几何, 投影几何, motion of curve, similarity geometry, projective geometry, integrable equation
中文摘要：

在射影的几何学基于 naturai 框架，在射影的几何学的曲线的运动被学习。几个 integrable 方程 includingSawada-Kotera 和 KK 方程在射影的几何学从飞机曲线的运动产生，这被显示出。由加速地描述并且由在类似几何学 P~3 资助一个额外的空格变量管理了的空格曲线的运动也被学习。

英文摘要：

Based on the natural frame in the projective geometry, motions of curves in projective geometry are studied. It is shown that several integrable equations including Sawada-Kotera and KK equations arise from motion of plane curves in projective geometries. Motion of space curves described by acceleratlon field and governed by endowing an extra space variable in similarity geometry P^3 is also studied.

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期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342