@Article{NMTMA-4-237,
author = {Hanquan Wang and Lina Yanti},
title = {An Efficient Numerical Method for the Quintic Complex Swift-Hohenberg Equation},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2011},
volume = {4},
number = {2},
pages = {237--254},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2011.42s.7},
url = {http://global-sci.org/intro/article_detail/nmtma/5967.html}
}