New High-Order Energy Preserving Method of the Fractional Coupled Nonlinear Schrödinger Equations

Author:

Sun Jianqiang1ORCID,Kong Jiameng12,Zhang Lijuan1,Zhang Jingxian1

Affiliation:

1. Department of Mathematics, School of Science, Hainan University, Haikou 570228, China

2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

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