Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (2): 265-272.

• 论文 • 上一篇    下一篇

On the Completeness of Hu Hai chang’s Solution

王敏中   

  1. Department of Mechanics, Beijing University, Beijing
  • 收稿日期:1980-03-01 出版日期:1981-03-18 发布日期:1981-03-18

On the Completeness of Hu Hai chang’s Solution

Wang Min-zhong   

  1. Department of Mechanics, Beijing University, Beijing
  • Received:1980-03-01 Online:1981-03-18 Published:1981-03-18

摘要: In this paper, the completeness of Hu Hai-chang’s solution is proved in the case of convex regions in z-direction under a supplementary condition. On the other hand, for those non-convex regions in z-direction, Hu Hai-chang’s solution is proved to be incomplete.

关键词: Painlevé analysis, traveling wave, excitable media

Abstract: In this paper, the completeness of Hu Hai-chang’s solution is proved in the case of convex regions in z-direction under a supplementary condition. On the other hand, for those non-convex regions in z-direction, Hu Hai-chang’s solution is proved to be incomplete.

Key words: Painlevé analysis, traveling wave, excitable media

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals