Title :
Wavelet analysis on Cauchy problems of nonlinear Schrodinger equations
Author :
Guan, Ning ; Li, Lihong ; Yashiro, Ken Ichiro ; Ohkawa, Surnio
Author_Institution :
Dept. of Electr. & Electron. Eng., Chiba Univ., Japan
Abstract :
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
Keywords :
Schrodinger equation; nonlinear differential equations; wavelet transforms; Cauchy problem; nonlinear Schrodinger equation; numerical analysis; wavelet transform; Fourier transforms; Frequency domain analysis; Nonlinear equations; Numerical analysis; Sampling methods; Schrodinger equation; Signal analysis; Signal processing; Wavelet analysis; Wavelet domain;
Conference_Titel :
Microwave Conference Proceedings, 1997. APMC '97, 1997 Asia-Pacific
Print_ISBN :
962-442-117-X
DOI :
10.1109/APMC.1997.654633
