维分数阶强耦合薛定谔方程的保结构方法OA

The main contribution of this paper is to construct an effective numerical method for preserving the original invariants of the strongly coupled fractional Schrödinger equations.Firstly,the strongly coupled fractional Schrödinger equations are rewritten into an equivalent Hamiltonian form by using the order reduction technique and the real and imaginary part separation methods.Then,the Fou-rier pseudo-spectral method and a variety of partitioned average vector field(PAVF)methods are used in the spatial and temporal di-rections,respectively,and the corresponding fully discrete numerical methods are established.Theoretical and numerical results show that these obtained PAVF methods can preserve the original energy of the studied model,but only the PAVF-P method can preserve the original energy and mass.