Average vector field methods for the coupled Schrodinger-KdV equations

作者：Zhang Hong; Song Song He^*; Chen Xu Dong; Zhou Wei En

来源：Chinese Physics B, 2014, 23(7): 070208.

DOI：10.1088/1674-1056/23/7/070208

• coupled Schrodinger-KdV equations
• average vector field method
• splitting method
• Fourier pseudospectral method

The energy preserving average vector field (AVF) method is applied to the coupled Schrodinger-KdV equations. Two energy preserving schemes are constructed by using Fourier pseudospectral method in space direction discretization. In order to accelerate our simulation, the split-step technique is used. The numerical experiments show that the non-splitting scheme and splitting scheme are both effective, and have excellent long time numerical behavior. The comparisons show that the splitting scheme is faster than the non-splitting scheme, but it is not as good as the non-splitting scheme in preserving the invariants.

• 出版日期2014-7
• 单位中国人民解放军国防科学技术大学