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Nonlocal PT-Symmetric Integrable Equations of Fourth-Order Associated with so(3, ℝ)

Author

Listed:
  • Li-Qin Zhang

    (School of Data Science and Intelligent Engineering, Xiamen Institute of Technology, Xiamen 361021, China
    These authors contributed equally to this work.)

  • Wen-Xiu Ma

    (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
    Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
    School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa)

Abstract

The paper aims to construct nonlocal PT-symmetric integrable equations of fourth-order, from nonlocal integrable reductions of a fourth-order integrable system associated with the Lie algebra so ( 3 , R ) . The nonlocalities involved are reverse-space, reverse-time, and reverse-spacetime. All of the resulting nonlocal integrable equations possess infinitely many symmetries and conservation laws.

Suggested Citation

  • Li-Qin Zhang & Wen-Xiu Ma, 2021. "Nonlocal PT-Symmetric Integrable Equations of Fourth-Order Associated with so(3, ℝ)," Mathematics, MDPI, vol. 9(17), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2130-:d:627641
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