Affiliation of Author(s):数学学院

Journal:Nonlinear Dynamics

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

Abstract: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.

First Author:张慧

Indexed by:Unit Twenty Basic Research

Correspondence Author:Jiang Xiaoyun

Document Code:7B36836781CC45BF9ABFD28B454AC4CB

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:95

Issue:2

Page Number:1599-1614

Translation or Not:no

Date of Publication:2019-01-01

Included Journals:SCI