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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 40205-040205.doi: 10.1088/1674-1056/21/4/040205

张荣培

收稿日期:2011-09-27 修回日期:2011-10-31 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 张荣培, E-mail:rongpeizhang@163.com E-mail:rongpeizhang@163.com

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

Zhang Rong-Pei(张荣培)^†

School of Sciences, Liaoning ShiHua University, Fushun 113001, China

Received:2011-09-27 Revised:2011-10-31 Online:2012-02-29 Published:2012-02-29
Contact: Zhang Rong-Pei, E-mail:rongpeizhang@163.com E-mail:rongpeizhang@163.com

摘要/Abstract

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.

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

中图分类号: (Finite-difference methods)

02.70.Bf

02.60.Cb (Numerical simulation; solution of equations) 05.45.Yv (Solitons)

张荣培. [J]. 中国物理B, 2012, 21(4): 40205-040205.

Zhang Rong-Pei(张荣培) . Compact implicit integration factor methods for some complex-valued nonlinear equations[J]. Chin. Phys. B, 2012, 21(4): 40205-040205.

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

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