@Article{JCM-7-41,
author = {Xin-Min Xiang},
title = {A Spectral Method for a Class of System of Multi-Dimensional Nonlinear Wave Equations},
journal = {Journal of Computational Mathematics},
year = {1989},
volume = {7},
number = {1},
pages = {41--55},
abstract = {<p style="text-align: justify;">In [1,2], the problem of three-dimensional soliton of a class of system for three-dimensional nonlinear wave equations was investigated, and the existence and stability of three-dimensional soliton was proved. In [3] the system discusses in [1,2] was generalized and a more general class of system of multi-dimensional nonlinear wave equations were studied. It was proved that the solution of its initial-boundary value problem was well posed under some conditions. This system has been studied by the finite difference method and the finite element method [4,5]. In this paper, we take the trigonometric functions as a basis to derive a spectral method for the system and give a strict error analysis in theory.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9454.html}
}