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The exact solutions for the nonlocal Kundu-NLS equation by the inverse scattering transform

Author

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  • Li, Yan
  • Hu, Beibei
  • Zhang, Ling
  • Li, Jian

Abstract

In this paper, we mainly investigate soliton solutions for the nonlocal Kundu-nonlinear Schrödinger (Kundu-NLS) equation by the inverse scattering transform. The inverse scattering transform and scattering data are studied through a symmetry reduction r(x,t)=q∗(−x,t). Then we can derive the exact solutions by Gelfand–Levitan–Marchenko (GLM) equation. Specially, the one-soliton, two-soliton solutions and corresponding graphs of the nonlocal Kundu-NLS equation are given.

Suggested Citation

  • Li, Yan & Hu, Beibei & Zhang, Ling & Li, Jian, 2024. "The exact solutions for the nonlocal Kundu-NLS equation by the inverse scattering transform," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001541
    DOI: 10.1016/j.chaos.2024.114603
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