TY - JOUR
T1 - An Efficient Numerical Method for the Quintic Complex Swift-Hohenberg Equation
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 237
EP - 254
PY - 2011
DA - 2011/04
SN - 4
DO - http://doi.org/10.4208/nmtma.2011.42s.7
UR - https://global-sci.org/intro/article_detail/nmtma/5967.html
KW - Quintic complex Swift-Hohenberg equation, time-splitting Fourier pseudospectral method, numerical simulation, soliton.
AB - <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>