数学物理学报(英文版) ›› 1985, Vol. 5 ›› Issue (4): 361-370.

• 论文 •    下一篇

ASYMPTOTIC SOLUTIONS OF THE REDUCED WAVE EQUATION IN THE VICINITY OF A HIGHER CAUSTIC

李志深   

  1. Dept. of Math., Lanzhou University, Lanzhou, China
  • 收稿日期:1982-01-15 出版日期:1985-12-25 发布日期:1985-12-25

ASYMPTOTIC SOLUTIONS OF THE REDUCED WAVE EQUATION IN THE VICINITY OF A HIGHER CAUSTIC

Li Zhishen   

  1. Dept. of Math., Lanzhou University, Lanzhou, China
  • Received:1982-01-15 Online:1985-12-25 Published:1985-12-25

摘要: In this paper the asymptotic solutions of the reduced wave equation (1) in the vicinity of a higher caustic have been found out by means of asymptotic expansions of the generalized Airy function, and the order (or the singularity index) and the phase's increment of solutions on the higher caustic have been obtained, too.

Abstract: In this paper the asymptotic solutions of the reduced wave equation (1) in the vicinity of a higher caustic have been found out by means of asymptotic expansions of the generalized Airy function, and the order (or the singularity index) and the phase's increment of solutions on the higher caustic have been obtained, too.