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Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations

Author

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  • Deng, Xiao
  • Lou, Senyue
  • Zhang, Da-jun

Abstract

A bilinearisation-reduction approach is described for finding solutions for nonlocal integrable systems and is illustrated with nonlocal discrete nonlinear Schrödinger equations. In this approach we first bilinearise the coupled system before reduction and derive its double Casoratian solutions; then we impose reduction on double Casoratians so that they coincide with the nonlocal reduction on potentials. Double Caosratian solutions of the classical and nonlocal (reverse space, reverse time and reverse space-time) discrete nonlinear Schrödinger equations are presented.

Suggested Citation

  • Deng, Xiao & Lou, Senyue & Zhang, Da-jun, 2018. "Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 477-483.
    • Handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:477-483
    DOI: 10.1016/j.amc.2018.03.061
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    Cited by:

    1. Yu-Shan Bai & Li-Na Zheng & Wen-Xiu Ma & Yin-Shan Yun, 2024. "Hirota Bilinear Approach to Multi-Component Nonlocal Nonlinear Schrödinger Equations," Mathematics, MDPI, vol. 12(16), pages 1-10, August.

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