Compact implicit integration factor methods for some complex-valued nonlinear equations

doi:10.1088/1674-1056/21/4/040205

Abstract The compact implicit integration factor (cIIF) method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear Schrödinger (NLS) equation and the complex Ginzburg-Landau (GL) equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.

Keywords: compact implicit integration factor method finite difference nonlinear Schr?dinger equation complex Ginzburg-Landau equation

Received: 27 September 2011
Revised: 31 October 2011
Accepted manuscript online:

PACS:	02.70.Bf	(Finite-difference methods)
	02.60.Cb	(Numerical simulation; solution of equations)
	05.45.Yv	(Solitons)

Corresponding Authors: Zhang Rong-Pei, E-mail:rongpeizhang@163.com
E-mail: rongpeizhang@163.com

Cite this article:

Zhang Rong-Pei(张荣培) Compact implicit integration factor methods for some complex-valued nonlinear equations 2012 Chin. Phys. B 21 040205

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