Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation
Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation
复制标题
河原方程的多辛傅立叶伪谱法
DOI：
10.4208/cicp.090313.041113a
复制
发表时间：
2014
影响因子：
3.7
通讯作者：
Wang Yushun
中科院分区：
文献类型：
--
作者：
Gong Yuezheng;Cai Jiaxiang;Wang Yushun
本文给出了Kawahara方程的一个多辛Fourier拟谱格式，特别注意了谱微分矩阵与离散Fourier变换之间的关系.这种关系对于有效实施该计划至关重要。利用这一关系，我们可以应用快速傅里叶变换来求解川原方程。所提出的方法的有效性将通过一些数值例子来证明。数值结果也证实了整体能量和动量的保持。
In this paper, we derive a multi-symplectic Fourier pseudospectral scheme for the Kawahara equation with special attention to the relationship between the spectral differentiation matrix and discrete Fourier transform. The relationship is crucial for implementing the scheme efficiently. By using the relationship, we can apply the Fast Fourier transform to solve the Kawahara equation. The effectiveness of the proposed methods will be demonstrated by a number of numerical examples. The numerical results also confirm that the global energy and momentum are well preserved.