Multi-symplectic methods for the Ito-type coupled KdV equation

作者：Chen, Yaming^*; Song, Songhe; Zhu, Huajun

来源：Applied Mathematics and Computation, 2012, 218(9): 5552-5561.

DOI：10.1016/j.amc.2011.11.045

• Ito-type coupled KdV equation
• Multi-symplectic
• Fourier pseudospectral method
• Wavelet collocation method

In this paper, we find that the Ito-type coupled KdV equation can be written as a multisymplectic Hamiltonian partial differential equation (PDE). Then, multi-symplectic Fourier pseudospectral method and multi-symlpectic wavelet collocation method are constructed for this equation. In the numerical experiments, we show the effectiveness of the proposed methods. Some comparisons between the proposed methods are also made with respect to global conservation properties.

• 出版日期2012-1
• 单位中国空气动力研究与发展中心; 中国人民解放军国防科学技术大学