Please use this identifier to cite or link to this item: https://doi.org/10.4208/nmtma.2011.42s.7
Title: An efficient numerical method for the quintic complex Swift-Hohenberg equation
Authors: Wang, H. 
Yanti, L.
Keywords: Numerical simulation
Quintic complex Swift-Hohenberg equation
Soliton
Time-splitting Fourier pseudospectral method
Issue Date: May-2011
Citation: Wang, H., Yanti, L. (2011-05). An efficient numerical method for the quintic complex Swift-Hohenberg equation. Numerical Mathematics 4 (2) : 237-254. ScholarBank@NUS Repository. https://doi.org/10.4208/nmtma.2011.42s.7
Abstract: In this paper, we present an efficient time-splitting Fourier spectral method for the quintic complex Swift-Hohenberg equation. Using the Strang time-splitting technique, we split the equation into linear part and nonlinear part. The linear part is solved with Fourier Pseudospectral method; the nonlinear part is solved analytically. We show that the method is easy to be applied and second-order in time and spectrally accurate in space. We apply the method to investigate soliton propagation, soliton interaction, and generation of stable moving pulses in one dimension and stable vortex solitons in two dimensions. © 2011 Global-Science Press.
Source Title: Numerical Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102832
ISSN: 10048979
DOI: 10.4208/nmtma.2011.42s.7
Appears in Collections:Staff Publications

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