| 空间分数阶KGS方程中不同孤子的数值模拟 |
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| 引用本文： | 张利娟,孙建强.空间分数阶KGS方程中不同孤子的数值模拟[J].华中师范大学学报(自然科学版),2022,56(5):746-751. |
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| 作者姓名： | 张利娟 孙建强 |
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| 作者单位： | (海南大学理学院， 海口 570228) |
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| 摘 要： | 该文给出了空间分数阶KGS方程的多辛结构，并利用傅里叶拟谱方法和二阶平均向量场方法对分数阶KGS方程的多辛结构进行离散，得到了方程新的保能量格式.利用新格式数值模拟了α和传播速度v取不同值时空间分数阶KGS方程中核子与介子的相互作用，并且分析了新格式保方程的离散能量守恒特性.
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| 关 键 词： | 分数阶KGS方程 多辛结构 平均向量场方法 能量守恒格式 |
| 收稿时间： | 2022-10-14 |
Numerical simulation of different solitons in space fraction KGS equations |
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| ZHANG Lijuan,SUN Jianqiang.Numerical simulation of different solitons in space fraction KGS equations[J].Journal of Central China Normal University(Natural Sciences),2022,56(5):746-751. |
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| Authors: | ZHANG Lijuan SUN Jianqiang |
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| Institution: | (College of Science， Hainan University， Haikou 570228， China) |
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| Abstract: | The multi-symplectic structure for the KGS equations is proposed. The multi-symplectic structure of the fractional KGS equations is discretized by Fourier pseudo-pectral method and second-order mean vector field method. A new energy-preserving scheme for the equations is obtained. The new scheme is applied to numerically simulate interaction of different nucleon and meson solitons in the space fractional KGS equations with different α values and propagation velocity v， and investigate the energy preserving property of the new scheme. |
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| Keywords: | fractional Klein-Gordon-Schrdinger equation multi-symplectic structure average vector field method conservation of energy of the scheme |
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