数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 275-281.

• 论文 • 上一篇    下一篇

AN ASYMPTOTIC SOLUTION OF THE NONLINEAR REDUCED WAVE EQUATION

 Kin-Chung Ng   

  1. Technical Institute of New York 90-10 55th Avenue Elmhurst, NY 11373,USA
  • 出版日期:2001-04-07 发布日期:2001-04-07

AN ASYMPTOTIC SOLUTION OF THE NONLINEAR REDUCED WAVE EQUATION

 Kin-Chung Ng   

  1. Technical Institute of New York 90-10 55th Avenue Elmhurst, NY 11373,USA
  • Online:2001-04-07 Published:2001-04-07

摘要:

This paper uses the boundary layer theory to obtain an asymptotic solution of the nonlinear educed wave equation. This solution is valid in the secular region where the geometrical optics result fails. However it agrees with the geometrical optics result when the field is away from the secular region. By using this solution the self-focusing length can also be obtained.

Abstract:

This paper uses the boundary layer theory to obtain an asymptotic solution of the nonlinear educed wave equation. This solution is valid in the secular region where the geometrical optics result fails. However it agrees with the geometrical optics result when the field is away from the secular region. By using this solution the self-focusing length can also be obtained.