No CrossRef data available.
Article contents
An Efficient Numerical Method for the Quintic Complex Swift-Hohenberg Equation
Published online by Cambridge University Press: 28 May 2015
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.
Keywords
- Type
- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 2 , May 2011 , pp. 237 - 254
- Copyright
- Copyright © Global Science Press Limited 2011