In this paper, we consider the detection and calculation of bifurcation from nontrivial steady-state solutions to rotating wave solutions of the Kuramoto-Sivashinsky(K-S) equation by using the nonlinear Galerkin method. Numerical results show the efficiency and advantages of the nonlinear Galerkin method over the conventional Galerkin method in this application.
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页码:286 / 291
页数:6
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Fully discrete nonlinear galerkin methods for Kuramoto-Sivashinsky equation and their error estimates[J] . Zhonghua Yang,Mahmood A.,Rui-song Ye.Journal of Shanghai University (English Edition) . 1997 (1)