—维有耗散波动方程的奇性分析与小波

　Applying the usual technique of linearization to wave equations with strong singularity often produces artifacts, for those terms with strong singularities are omittedfor they are small in magnitude. Using the method of wavelets transform, the main terms in singularities are retained in simplification. So the result is more accurate in a point view of singularity analysis. We have applied the mathod to one-dimensional wave equations in inhomogeneous media, and got the same main terms in singularities as the accurate ones. In this paper, one-dimensional wave equations with dissipations in inhomogeneous media are considered. The method of wavelets analysis is improved,and the same main terms in singularities as the accurate solutions are obtained as well.So we conclude that applying wavelets analysis to singularity simplification is always effective, especially to high-frequency approximation and singularity analysis.