Wavelet analysis on Cauchy problems of nonlinear Schrodinger equations

The property of localization in both time and frequency domains helps the wavelet analysis make a good resort for numerical solutions which vary dramatically in both domains. A wavelet-based numerical analysis is proposed for solving the Cauchy problems of the nonlinear Schrodinger equations in this paper. It calculates linear and nonlinear terms of the equations in the wavelet-transformed domain to show that the analysis is quite effective.