New High-Order Energy Preserving Method of the Fractional Coupled Nonlinear Schrödinger Equations
New High-Order Energy Preserving Method of the Fractional Coupled Nonlinear Schrödinger Equations
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DOI：
10.1155/2022/9888873
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发表时间：
2022-08
影响因子：
1.4
通讯作者：
Jianqiang Sun;Jiameng Kong;Lijuan Zhang;Jingxian Zhang
中科院分区：
文献类型：
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作者：
Jianqiang Sun;Jiameng Kong;Lijuan Zhang;Jingxian Zhang
给出了分数阶耦合非线性Schrödinger方程的辛结构。采用傅里叶谱法和四阶组合平均向量场（AVF）法对结构进行离散化，得到了分数阶耦合非线性Schrödinger方程的新格式。数值实验表明了新格式的特性。与经典辛格式相比，新格式能更好地保持能量守恒特性。
The symplectic structure is given for the fractional coupled nonlinear Schrödinger equations. The Fourier spectral method and the fourth-order combination average vector field (AVF) method are applied to discretize the structure, and a new format for the fractional coupled nonlinear Schrödinger equations is obtained. The numerical experiments are showed to illustrate the property of the new format. The new scheme can maintain the energy conservation property better than the classical symplectic scheme.