Abstract Two types of first-order decoupled conservative schemes are firstly proposed for the strongly coupled nonlinear Schrodinger system by using pseudospectral method in space and coordinate increment discrete gradient method in time. And then, in order to improve the solution accuracy in time, the composition methods are employed to construct second- and fourth-order schemes. The proposed schemes are efficient for the system in d ≥ 2 dimensions and also easy to code because of their decoupled feature. A fast solver is proposed to speed up the computation. Ample numerical examples including the motion of single soliton and interaction of multiple solitary waves are carried out to exhibit the performance of the schemes.

中文翻译：

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用于计算强耦合非线性薛定谔系统动力学的解耦保守方案

摘要 利用空间上的伪谱法和时间上的坐标增量离散梯度法，首先针对强耦合非线性薛定谔系统提出了两类一阶解耦保守方案。然后，为了及时提高求解精度，采用组合方法构造二阶和四阶方案。所提出的方案对于 d ≥ 2 维的系统是有效的，并且由于它们的解耦特征也易于编码。提出了一种快速求解器来加速计算。大量的数值例子包括单个孤子的运动和多个孤波的相互作用，以展示该方案的性能。