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

Author

Listed:
  • Jianqiang Sun
  • Jiameng Kong
  • Lijuan Zhang
  • Jingxian Zhang

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.

Suggested Citation

  • Jianqiang Sun & Jiameng Kong & Lijuan Zhang & Jingxian Zhang, 2022. "New High‐Order Energy Preserving Method of the Fractional Coupled Nonlinear Schrödinger Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:9888873
    DOI: 10.1155/2022/9888873
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