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

Jianqiang Sun, Jiameng Kong, Lijuan Zhang, Jingxian Zhang and Kenan Yildirim

Journal of Mathematics, 2022, vol. 2022, 1-9

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9888873

DOI: 10.1155/2022/9888873

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