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N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions

Author

Listed:
  • Yu-Shan Bai

    (Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China)

  • Peng-Xiang Su

    (Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China)

  • 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

In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given. In addition, by taking seed solutions and using the DT, exact solutions for the given NLS equations are constructed.

Suggested Citation

  • Yu-Shan Bai & Peng-Xiang Su & Wen-Xiu Ma, 2021. "N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions," Mathematics, MDPI, vol. 9(7), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:733-:d:525943
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    References listed on IDEAS

    as
    1. Ma, Wen-Xiu, 2009. "Multi-component bi-Hamiltonian Dirac integrable equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 282-287.
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