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

Yan Li, Beibei Hu, Ling Zhang and Jian Li

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

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.

Keywords: Nonlocal Kundu-NLS equation; Inverse scattering transform; Exact solutions; Symmetry reduction (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001541

DOI: 10.1016/j.chaos.2024.114603

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