数学物理学报(英文版) ›› 1983, Vol. 3 ›› Issue (1): 1-11.

• 论文 •    下一篇

UNIFORM ASYMPTOTIC EXPANSIONS OF SOLUTION FOR THE REDUCED WAVE EQUATION AT A CUSPED CAUSTIC

李志深   

  1. Lanzhou University
  • 收稿日期:1981-03-03 出版日期:1983-03-25 发布日期:1983-03-25

UNIFORM ASYMPTOTIC EXPANSIONS OF SOLUTION FOR THE REDUCED WAVE EQUATION AT A CUSPED CAUSTIC

Li Zhishen   

  1. Lanzhou University
  • Received:1981-03-03 Online:1983-03-25 Published:1983-03-25

摘要: The uniform asymptotic expansions of solution for reduced wave equation (1) at a cusped caustic are considered in the paper, the asymptotic solution (2) on the cusped caustic is obtained by means of the method of steepest descent, which shows that the singularity of solution is enhanced by order 1/6 on the caustic.

Abstract: The uniform asymptotic expansions of solution for reduced wave equation (1) at a cusped caustic are considered in the paper, the asymptotic solution (2) on the cusped caustic is obtained by means of the method of steepest descent, which shows that the singularity of solution is enhanced by order 1/6 on the caustic.