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所属单位：数学学院

发表刊物：Nonlinear Dynamics

关键字：Space fractional coupled nonlinear Schrodinger equations; Legendre spectral method; Mass and energy conservation; Convergence analysis; Bayesian parameter estimation

摘要：In a lot of dynamic processes, the fractional differential operators not only appear as discrete fractional, but they also have a continuous nature in some sense. In the article, we consider the space fractional coupled nonlinear Schrodinger equations. A Legendre spectral scheme is proposed for obtaining the numerical solution of the considered equations. The convergence analysis of the numerical method is discussed, and it is shown to be convergent of spectral accuracy in space and second-order accuracy in time. The conservation laws of the fully discrete system are analyzed rigorously. Moreover, the Bayesian method is given to estimate many parameters of this system. Some numerical results are presented to verify the effectiveness of the proposed approaches.

第一作者：张慧

论文类型：基础研究

通讯作者：蒋晓芸

论文编号：7B36836781CC45BF9ABFD28B454AC4CB

学科门类：理学

一级学科：数学

卷号：95

期号：2

页面范围：1599-1614

是否译文：否

发表时间：2019-01-01

收录刊物：SCI